Solve 50-[3(2x-3)-2(2x-1)]=23

$$50 - [ 3 ( 2 x - 3 ) - 2 ( 2 x - 1 ) ] = 23$$

Solve for x

$$x=17$$

Steps for Solving Linear Equation

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

$$50-\left(6x-9-2\left(2x-1\right)\right)=23$$

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

$$50-\left(6x-9-4x+2\right)=23$$

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

$$50-\left(2x-9+2\right)=23$$

Add -9 and 2 to get -7.

$$50-\left(2x-7\right)=23$$

To find the opposite of 2x-7, find the opposite of each term.

$$50-2x-\left(-7\right)=23$$

The opposite of -7 is 7.

$$50-2x+7=23$$

Add 50 and 7 to get 57.

$$57-2x=23$$

Subtract 57 from both sides.

$$-2x=23-57$$

Subtract 57 from 23 to get -34.

$$-2x=-34$$

Divide both sides by -2.

$$x=\frac{-34}{-2}$$

Divide -34 by -2 to get 17.

$$x=17$$