Simplifying
3x + -7 = -1x + 15
Reorder the terms:
-7 + 3x = -1x + 15
Reorder the terms:
-7 + 3x = 15 + -1x
Solving
-7 + 3x = 15 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-7 + 3x + x = 15 + -1x + x
Combine like terms: 3x + x = 4x
-7 + 4x = 15 + -1x + x
Combine like terms: -1x + x = 0
-7 + 4x = 15 + 0
-7 + 4x = 15
Add '7' to each side of the equation.
-7 + 7 + 4x = 15 + 7
Combine like terms: -7 + 7 = 0
0 + 4x = 15 + 7
4x = 15 + 7
Combine like terms: 15 + 7 = 22
4x = 22
Divide each side by '4'.
x = 5.5
Simplifying
x = 5.5