Simplifying
2x + -7 = 3x + 5
Reorder the terms:
-7 + 2x = 3x + 5
Reorder the terms:
-7 + 2x = 5 + 3x
Solving
-7 + 2x = 5 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-7 + 2x + -3x = 5 + 3x + -3x
Combine like terms: 2x + -3x = -1x
-7 + -1x = 5 + 3x + -3x
Combine like terms: 3x + -3x = 0
-7 + -1x = 5 + 0
-7 + -1x = 5
Add '7' to each side of the equation.
-7 + 7 + -1x = 5 + 7
Combine like terms: -7 + 7 = 0
0 + -1x = 5 + 7
-1x = 5 + 7
Combine like terms: 5 + 7 = 12
-1x = 12
Divide each side by '-1'.
x = -12
Simplifying
x = -12
