Solve -5/3x+24=-x+40

$$- 5 / 3 x + 24 = - x + 40$$

Solve for x

$$x=-24$$

Steps for Solving Linear Equation

Add x to both sides.

$$-\frac{5}{3}x+24+x=40$$

Combine -\frac{5}{3}x and x to get -\frac{2}{3}x.

$$-\frac{2}{3}x+24=40$$

Subtract 24 from both sides.

$$-\frac{2}{3}x=40-24$$

Subtract 24 from 40 to get 16.

$$-\frac{2}{3}x=16$$

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

$$x=16\left(-\frac{3}{2}\right)$$

Express 16\left(-\frac{3}{2}\right) as a single fraction.

$$x=\frac{16\left(-3\right)}{2}$$

Multiply 16 and -3 to get -48.

$$x=\frac{-48}{2}$$

Divide -48 by 2 to get -24.

$$x=-24$$