Question

Solve the equation. Show your work. CHECK YOUR ANSWER. 3x – 7 = 5x + 19

Answer 1

$3x - 7 = 5x + 19$  $|Equation|$

$-7=5x+19-3x$  $|Subtract \ 3x \ from \ both \ sides|$ 

$-7=2x+19$ 

$-7-19=2x$ 

$-26=2x$ 

$-26/2=x$ 

$x=-13$

Answer 2

3x-7=5x+19
Add 7 to both sides.
3x=5x+26
Subtract 5x on both sides.
-2x=26
Divide by -2 on both sides.
x=-13


To check the answer you substitute x=-13 back into the equation.
3x-7=5x+19
3(-13)-7=5(-13)+19
-39-7=-65+19
-46=-46