Solve the equation. Check your answer. 3x - 7 = 5x + 19

Given:

3x - 7 = 5x + 19

Solve.

3x - 7 = 5x + 19

Group like terms and change its corresponding signs.

3x - 5x = 19 + 7

-2x = 26

-2x/-2 = 26 / - 2

x = - 13

to check: substitute x with its value. x = - 13

3x - 7 = 5x + 19

3 (-13) - 7 = 5 (-13) + 19

-39 - 7 = - 65 + 19

- 46 = - 46

3x - 7 = 5x + 19

Subtract 3x on both sides.

3x - 3x - 7 = 5x - 3x + 19

-7 = 2x + 19

Subtract 19 on both sides

-7 - 19 = 2x + 19 - 19

2x = - 26

Divide both sides by 2.

2x/2 = - 26/2

x = - 13

The solution to the equation is x = - 13.

Let's check our answer.

3 (-13) - 7 = 5 (-13) + 19

-39 - 7 = - 65 + 19

-46 = - 65 + 19

-46 = - 46

Therefore, the solution of x = - 13 is correct.