12+2(x-9)=3(x-12)

Solution for 12+2(x-9)=3(x-12) equation:

Simplifying
12 + 2(x + -9) = 3(x + -12)

Reorder the terms:
12 + 2(-9 + x) = 3(x + -12)
12 + (-9 * 2 + x * 2) = 3(x + -12)
12 + (-18 + 2x) = 3(x + -12)

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

Reorder the terms:
-6 + 2x = 3(-12 + x)
-6 + 2x = (-12 * 3 + x * 3)
-6 + 2x = (-36 + 3x)

Solving
-6 + 2x = -36 + 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.
-6 + 2x + -3x = -36 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-6 + -1x = -36 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -1x = -36 + 0
-6 + -1x = -36

Add '6' to each side of the equation.
-6 + 6 + -1x = -36 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -36 + 6
-1x = -36 + 6

Combine like terms: -36 + 6 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30