Simplifying
3x + 15 + -9 = 2(x + 2)
Reorder the terms:
15 + -9 + 3x = 2(x + 2)
Combine like terms: 15 + -9 = 6
6 + 3x = 2(x + 2)
Reorder the terms:
6 + 3x = 2(2 + x)
6 + 3x = (2 * 2 + x * 2)
6 + 3x = (4 + 2x)
Solving
6 + 3x = 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.
6 + 3x + -2x = 4 + 2x + -2x
Combine like terms: 3x + -2x = 1x
6 + 1x = 4 + 2x + -2x
Combine like terms: 2x + -2x = 0
6 + 1x = 4 + 0
6 + 1x = 4
Add '-6' to each side of the equation.
6 + -6 + 1x = 4 + -6
Combine like terms: 6 + -6 = 0
0 + 1x = 4 + -6
1x = 4 + -6
Combine like terms: 4 + -6 = -2
1x = -2
Divide each side by '1'.
x = -2
Simplifying
x = -2