Solve 2*(x+1)-3*(x-2)=5*(x+8)

$$2 \cdot ( x + 1 ) - 3 \cdot ( x - 2 ) = 5 \cdot ( x + 8 )$$

Solve for x

$$x = -\frac{16}{3} = -5\frac{1}{3} \approx -5.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+1.

$$2x+2-3\left(x-2\right)=5\left(x+8\right)$$

Use the distributive property to multiply -3 by x-2.

$$2x+2-3x+6=5\left(x+8\right)$$

Combine 2x and -3x to get -x.

$$-x+2+6=5\left(x+8\right)$$

Add 2 and 6 to get 8.

$$-x+8=5\left(x+8\right)$$

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

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

Subtract 5x from both sides.

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

Combine -x and -5x to get -6x.

$$-6x+8=40$$

Subtract 8 from both sides.

$$-6x=40-8$$

Subtract 8 from 40 to get 32.

$$-6x=32$$

Divide both sides by -6.

$$x=\frac{32}{-6}$$

Reduce the fraction \frac{32}{-6} to lowest terms by extracting and canceling out 2.

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