Solve 8(x-5)-3(x+6)=2(x+6)

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

Solve for x

$$x = \frac{70}{3} = 23\frac{1}{3} \approx 23.333333333$$

Steps for Solving Linear Equation

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

$$8x-40-3\left(x+6\right)=2\left(x+6\right)$$

Use the distributive property to multiply -3 by x+6.

$$8x-40-3x-18=2\left(x+6\right)$$

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

$$5x-40-18=2\left(x+6\right)$$

Subtract 18 from -40 to get -58.

$$5x-58=2\left(x+6\right)$$

Use the distributive property to multiply 2 by x+6.

$$5x-58=2x+12$$

Subtract 2x from both sides.

$$5x-58-2x=12$$

Combine 5x and -2x to get 3x.

$$3x-58=12$$

Add 58 to both sides.

$$3x=12+58$$

Add 12 and 58 to get 70.

$$3x=70$$

Divide both sides by 3.

$$x=\frac{70}{3}$$