Respuesta :
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
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.
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.