3(x-2)+18=6+2(x+6)

Solution for 3(x-2)+18=6+2(x+6) equation:

Simplifying
3(x + -2) + 18 = 6 + 2(x + 6)

Reorder the terms:
3(-2 + x) + 18 = 6 + 2(x + 6)
(-2 * 3 + x * 3) + 18 = 6 + 2(x + 6)
(-6 + 3x) + 18 = 6 + 2(x + 6)

Reorder the terms:
-6 + 18 + 3x = 6 + 2(x + 6)

Combine like terms: -6 + 18 = 12
12 + 3x = 6 + 2(x + 6)

Reorder the terms:
12 + 3x = 6 + 2(6 + x)
12 + 3x = 6 + (6 * 2 + x * 2)
12 + 3x = 6 + (12 + 2x)

Combine like terms: 6 + 12 = 18
12 + 3x = 18 + 2x

Solving
12 + 3x = 18 + 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.
12 + 3x + -2x = 18 + 2x + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 1x = 18 + 0
12 + 1x = 18

Add '-12' to each side of the equation.
12 + -12 + 1x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 18 + -12
1x = 18 + -12

Combine like terms: 18 + -12 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6