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

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

Solve for x

$$x = \frac{28}{9} = 3\frac{1}{9} \approx 3.111111111$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply -3 by 2x+1.

$$16x-24-6x-3-3=x-2$$

Combine 16x and -6x to get 10x.

$$10x-24-3-3=x-2$$

Subtract 3 from -24 to get -27.

$$10x-27-3=x-2$$

Subtract 3 from -27 to get -30.

$$10x-30=x-2$$

Subtract x from both sides.

$$10x-30-x=-2$$

Combine 10x and -x to get 9x.

$$9x-30=-2$$

Add 30 to both sides.

$$9x=-2+30$$

Add -2 and 30 to get 28.

$$9x=28$$

Divide both sides by 9.

$$x=\frac{28}{9}$$