Maths-

General

Easy

Question

# How many solutions does this equation have 2(6x+9-3x) = 5x+21

Hint:

### When a given equation has only 1 value that can be substituted for the variable which will satisfy the given equation, the said equation has only 1 solution. i.e. after simplifying the equation, we will get a single value as the solution for x.

We will simplify the given equation and the number of values we get for the variable.

## The correct answer is: The given equation i.e. 2 (6x + 9 - 3x) = 5x + 21 can be classified as an equation with only one solution

### Step-by-step solution:-

Simplifying the given equation i.e. 2(6x + 9 - 3x)= 5x + 21, we get-

2(6x + 9 - 3x) = 5x + 21

∴ 12x + 18 - 6x = 5x + 21 ................................. (Opening the bracket and multiplying the number with entire expression on LHS)

∴ 12x - 6x - 5x = 21 - 18 .................................. (Taking variables and constants on either side of the equation)

∴ x = 3

Since after simplifying the given equation, we get a single value of x i.e. 3 that will satisfy the given equation, we can conclude that the given equation has 1 solution.

Final Answer:-

∴ The given equation i.e. 2 (6x + 9 - 3x) = 5x + 21 can be classified as an equation with only one solution.

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