Question

Solve x: 3x-7 = 5x+13 Solve x: 7-3x = 5x+13

Answer 1

1.
Since 5x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 5x from both sides.
3x−7−5x=13

Add 3x and −5x to get −2x.
−2x−7=13

Move -7 to the right hand side of the equation.
−2x=7+13

Add 7 and 13 to get 20.
−2x=20

Divide each term in the equation by −2.

x=−10

2.
Since 5x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 5x from both sides.
7−3x−5x=13

Add −3x and −5x to get −8x.
7−8x=13

Move 7 to the right hand side of the equation.
−8x=−7+13

Add −7 and 13 to get 6.
−8x=6

Divide each term in the equation by −8.

x=−3/4

Answer 2

First you need to combine like terms
7-3x= 5x+13
step 1 add 3x
7=8x+13
step 2 subteact 13
-6=8x
step 3 divide both sides by two
x=-3/4