Question

# Solve : 7X= 8X+12

Hint:

### An equation with variables on both sides of the "equal to" sign i.e. on LHS and RHS can be solved by first simplifying both the sides (Opening up the brackets, addition, subtraction, i.e. if any) and then all the variables are taken on 1 side of the equation and all the constants i.e. numbers on the other side. Both sides are then simplified further and the solution is obtained

## The correct answer is: Value of x for the given equation is -12.

### Step-by-step solution:-

7x = 8x + 12

∴ 7x - 8x = 12 …....................... (Taking all variables and constants on either sides of the equation)

∴ -x = 12

∴ x = -12 ............................................. (Multiplying both sides by -1)

Final Answer:-

∴ Value of x for the given equation is -12.

### Related Questions to study

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In this question, the answer is to find out with the help of the fixed cost and variable cost formulas. So let's first understand what variable and fixed costs mean and the formula to calculate costs.

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A fixed cost is any business expense that does not change in response to production or sales. Fixed costs are also known as indirect costs or overhead. Fixed costs cannot be changed to reduce expenses. Instead, they typically rely on an outside entity, such as a landlord or bank. Fixed costs include rent, insurance, and labor costs.**Fixed cost = Total cost of production - (No. of units produced x Variable cost per unit)**

To find the total cost,**Total cost= Fixed cost + Variable cost**

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b) Jamie learns that the $ 500 set up fee for company A includes payment for 20 guests. The $25 per guests charge is for every guest over the first 20.If there will be 50 guests , which company will cost the least ? Explain.

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Variable costs are expenses that varies in proportion to the number of goods or services produced by a company. In other words, they are costs that vary with the amount of activity. As a result, the costs rise as the volume of activities rises and fall as the volume of activities falls.**Total Variable Cost = Total Output Quantity x Variable Cost Per Unit Output.**

A fixed cost is any business expense that does not change in response to production or sales. Fixed costs are also known as indirect costs or overhead. Fixed costs cannot be changed to reduce expenses. Instead, they typically rely on an outside entity, such as a landlord or bank. Fixed costs include rent, insurance, and labor costs.**Fixed cost = Total cost of production - (No. of units produced x Variable cost per unit)**

To find the total cost,**Total cost= Fixed cost + Variable cost**

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There are three different ways to write the formula. They are:

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Here speed, distance, and time are internally linked. So, to calculate the value of among one, we require another unit.

For example, to determine the time required to complete a journey, we must know the distance and speed first.

### Two window washers start at the heights shown ,one is rising , other is descending . How long does it take for the two window washers to reach the same height ? Explain.

The rate at which an object move is refers as its speed. If an object has traveled far away from the initial place and how much time it takes? To be calculated using the average speed traveled by an object. The speed formula is speed = distance/time. To determine the units for speed, we must consider the units for distance and time.

There are three different ways to write the formula. They are:

• **speed = distance ÷ time**

• **distance = speed × time**

•** time = distance ÷ speed**

Here speed, distance, and time are internally linked. So, to calculate the value of among one, we require another unit.

For example, to determine the time required to complete a journey, we must know the distance and speed first.