Solve 8(3x+2)-5(2x-1)=8-(9-3x)

$$8 ( 3 x + 2 ) - 5 ( 2 x - 1 ) = 8 - ( 9 - 3 x )$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 3x+2.

$$24x+16-5\left(2x-1\right)=8-\left(9-3x\right)$$

Use the distributive property to multiply -5 by 2x-1.

$$24x+16-10x+5=8-\left(9-3x\right)$$

Combine 24x and -10x to get 14x.

$$14x+16+5=8-\left(9-3x\right)$$

Add 16 and 5 to get 21.

$$14x+21=8-\left(9-3x\right)$$

To find the opposite of 9-3x, find the opposite of each term.

$$14x+21=8-9-\left(-3x\right)$$

The opposite of -3x is 3x.

$$14x+21=8-9+3x$$

Subtract 9 from 8 to get -1.

$$14x+21=-1+3x$$

Subtract 3x from both sides.

$$14x+21-3x=-1$$

Combine 14x and -3x to get 11x.

$$11x+21=-1$$

Subtract 21 from both sides.

$$11x=-1-21$$

Subtract 21 from -1 to get -22.

$$11x=-22$$

Divide both sides by 11.

$$x=\frac{-22}{11}$$

Divide -22 by 11 to get -2.

$$x=-2$$