Solve 5(x+8)=8(x+1)

$$5 ( x + 8 ) = 8 ( x + 1 )$$

Solve for x

$$x = \frac{32}{3} = 10\frac{2}{3} \approx 10.666666667$$

Steps for Solving Linear Equation

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

$$5x+40=8\left(x+1\right)$$

Use the distributive property to multiply 8 by x+1.

$$5x+40=8x+8$$

Subtract 8x from both sides.

$$5x+40-8x=8$$

Combine 5x and -8x to get -3x.

$$-3x+40=8$$

Subtract 40 from both sides.

$$-3x=8-40$$

Subtract 40 from 8 to get -32.

$$-3x=-32$$

Divide both sides by -3.

$$x=\frac{-32}{-3}$$

Fraction \frac{-32}{-3} can be simplified to \frac{32}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{32}{3}$$