Simplifying
5x + 7 = 2x + 4
Reorder the terms:
7 + 5x = 2x + 4
Reorder the terms:
7 + 5x = 4 + 2x
Solving
7 + 5x = 4 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
7 + 5x + -2x = 4 + 2x + -2x
Combine like terms: 5x + -2x = 3x
7 + 3x = 4 + 2x + -2x
Combine like terms: 2x + -2x = 0
7 + 3x = 4 + 0
7 + 3x = 4
Add '-7' to each side of the equation.
7 + -7 + 3x = 4 + -7
Combine like terms: 7 + -7 = 0
0 + 3x = 4 + -7
3x = 4 + -7
Combine like terms: 4 + -7 = -3
3x = -3
Divide each side by '3'.
x = -1
Simplifying
x = -1