Maths-
General
Easy

Question

Solve x plus 3 over 4 equals 3 over 8 x minus 1 half. Write a reason for each step.

hintHint:

using the additive property and subtraction property ,division property on both sides .solve for x.

The correct answer is: x = - 2


    Ans:- x = -2
    Given ,x plus 3 over 4 equals 3 over 8 x minus 1 half.
    Subtract 3 over 8 X  from both sides by subtraction property of equality both sides remain equal.

        x plus 3 over 4 minus 3 over 8 x equals 3 over 8 x minus 1 half minus 3 over 8 x

        5 over 8 x plus 3 over 4 equals negative 1 half.
    Subtract 3 over 4 from both sides by subtraction property of equality both sides remain equal.

       5 over 8 x plus 3 over 4 minus 3 over 4 equals negative 1 half minus 3 over 4

       5 over 8 x equals negative 5 over 4.
    Divide both side with 5 over 8 left parenthesis not equal to 0 right parenthesis by division property of equality both sides remain equal.

      fraction numerator 5 over 8 x over denominator begin display style 5 over 8 end style end fraction equals fraction numerator negative 5 over 4 over denominator begin display style 5 over 8 end style end fraction not stretchy rightwards double arrow space x space equals fraction numerator negative 5 over denominator 4 end fraction cross times 8 over 5

       x =  - 2

    ∴ x  = - 2

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