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

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

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

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