Solve x=5(x+8)div3

$$x=5(x+8) \div 3$$

Solve for x

$$x=-20$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+8.

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

Divide each term of 5x+40 by 3 to get \frac{5}{3}x+\frac{40}{3}.

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

Subtract \frac{5}{3}x from both sides.

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

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

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

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

$$x=\frac{40}{3}\left(-\frac{3}{2}\right)$$

Multiply \frac{40}{3} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{40\left(-3\right)}{3\times 2}$$

Do the multiplications in the fraction \frac{40\left(-3\right)}{3\times 2}.

$$x=\frac{-120}{6}$$

Divide -120 by 6 to get -20.

$$x=-20$$