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.