Question

Solve the proportional equation below: x/4 = x-6/3

Answer 1

PROPORTIONAL EQUATION

Exercise

Apply the means-extremes property of proportions: this allows you to cross multiply:

                $\boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}$

$\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}$      ‏‏‎      ‏‏‎‎      $\mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}$‏‏‎‎

             $\boxed{\mathsf{3x = 4(x - 6)}}$

Apply the distributive property:

$\mathsf{3x = 4(x-6)}$

$\mathsf{3x = 4(x) - 4(6)}$

$\mathsf{3x = 4x - 24}$

Add 24 to both sides:

$\mathsf{3x + 24 = 4x - 24 + 24}$

$\mathsf{3x + 24 = 4x}$

Substract 3x to both sides

$\mathsf{3x - 3x + 24 = 4x - 3x}$

$\mathsf{24 = 4x - 3x}$

$\large{\boxed{\mathsf{24 = x}}}$

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Answer. The value of x = 24.

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