Solve 20/3x=12x-24

$$\frac{ 20 }{ 3 } x=12x-24$$

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

Subtract 12x from both sides.

$$\frac{20}{3}x-12x=-24$$

Combine \frac{20}{3}x and -12x to get -\frac{16}{3}x.

$$-\frac{16}{3}x=-24$$

Multiply both sides by -\frac{3}{16}, the reciprocal of -\frac{16}{3}.

$$x=-24\left(-\frac{3}{16}\right)$$

Express -24\left(-\frac{3}{16}\right) as a single fraction.

$$x=\frac{-24\left(-3\right)}{16}$$

Multiply -24 and -3 to get 72.

$$x=\frac{72}{16}$$

Reduce the fraction \frac{72}{16} to lowest terms by extracting and canceling out 8.

$$x=\frac{9}{2}$$