Solve the equation $\frac{x}{3} - \frac{3x-7}{4} = 8$

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Worked solution

1. Clear the fractions by multiplying every term by the LCM of the denominators.

$\frac{x}{3}-\frac{3x-7}{4}=8$
Multiply throughout by $12$ :
$12\left(\frac{x}{3}\right)-12\left(\frac{3x-7}{4}\right)=12(8)$
$4x-3(3x-7)=96$

2. Expand and simplify the linear equation.

$4x-3(3x-7)=96$
$4x-9x+21=96$
$-5x+21=96$

3. Solve for $x$.

$-5x+21=96$
$-5x=75$
$x=-15$

Answer

$x=-36$

AI analysis — may contain mistakes.

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