3(x-5)-12=2(x-6)+5

Solution for 3(x-5)-12=2(x-6)+5 equation:

Simplifying
3(x + -5) + -12 = 2(x + -6) + 5

Reorder the terms:
3(-5 + x) + -12 = 2(x + -6) + 5
(-5 * 3 + x * 3) + -12 = 2(x + -6) + 5
(-15 + 3x) + -12 = 2(x + -6) + 5

Reorder the terms:
-15 + -12 + 3x = 2(x + -6) + 5

Combine like terms: -15 + -12 = -27
-27 + 3x = 2(x + -6) + 5

Reorder the terms:
-27 + 3x = 2(-6 + x) + 5
-27 + 3x = (-6 * 2 + x * 2) + 5
-27 + 3x = (-12 + 2x) + 5

Reorder the terms:
-27 + 3x = -12 + 5 + 2x

Combine like terms: -12 + 5 = -7
-27 + 3x = -7 + 2x

Solving
-27 + 3x = -7 + 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.
-27 + 3x + -2x = -7 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-27 + 1x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-27 + 1x = -7 + 0
-27 + 1x = -7

Add '27' to each side of the equation.
-27 + 27 + 1x = -7 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = -7 + 27
1x = -7 + 27

Combine like terms: -7 + 27 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20