3(x+5)-9=2(x+2)

Solution for 3(x+5)-9=2(x+2) equation:

Simplifying
3(x + 5) + -9 = 2(x + 2)

Reorder the terms:
3(5 + x) + -9 = 2(x + 2)
(5 * 3 + x * 3) + -9 = 2(x + 2)
(15 + 3x) + -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