Solve 2(3x-8)-3=2(x-5)+23

$$2 ( 3 x - 8 ) - 3 = 2 ( x - 5 ) + 23$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

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

$$6x-16-3=2\left(x-5\right)+23$$

Subtract 3 from -16 to get -19.

$$6x-19=2\left(x-5\right)+23$$

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

$$6x-19=2x-10+23$$

Add -10 and 23 to get 13.

$$6x-19=2x+13$$

Subtract 2x from both sides.

$$6x-19-2x=13$$

Combine 6x and -2x to get 4x.

$$4x-19=13$$

Add 19 to both sides.

$$4x=13+19$$

Add 13 and 19 to get 32.

$$4x=32$$

Divide both sides by 4.

$$x=\frac{32}{4}$$

Divide 32 by 4 to get 8.

$$x=8$$