Solve x/17/6-24=x/3+24

$$\frac{ \frac{ x }{ 17 } }{ 6 } -24= \frac{ x }{ 3 } +24$$

Solve for x

$$x = -\frac{1632}{11} = -148\frac{4}{11} \approx -148.363636364$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,3.

$$\frac{x}{17}-144=2x+144$$

Subtract 2x from both sides.

$$\frac{x}{17}-144-2x=144$$

Combine \frac{x}{17} and -2x to get -\frac{33}{17}x.

$$-\frac{33}{17}x-144=144$$

Add 144 to both sides.

$$-\frac{33}{17}x=144+144$$

Add 144 and 144 to get 288.

$$-\frac{33}{17}x=288$$

Multiply both sides by -\frac{17}{33}, the reciprocal of -\frac{33}{17}.

$$x=288\left(-\frac{17}{33}\right)$$

Express 288\left(-\frac{17}{33}\right) as a single fraction.

$$x=\frac{288\left(-17\right)}{33}$$

Multiply 288 and -17 to get -4896.

$$x=\frac{-4896}{33}$$

Reduce the fraction \frac{-4896}{33} to lowest terms by extracting and canceling out 3.

$$x=-\frac{1632}{11}$$