(x-12)+2(x+3)=6(x-27)

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Solution for (x-12)+2(x+3)=6(x-27) equation:


Simplifying
(x + -12) + 2(x + 3) = 6(x + -27)

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

Remove parenthesis around (-12 + x)
-12 + x + 2(x + 3) = 6(x + -27)

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

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

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

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

Reorder the terms:
-6 + 3x = 6(-27 + x)
-6 + 3x = (-27 * 6 + x * 6)
-6 + 3x = (-162 + 6x)

Solving
-6 + 3x = -162 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-6 + 3x + -6x = -162 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = -162 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = -162 + 0
-6 + -3x = -162

Add '6' to each side of the equation.
-6 + 6 + -3x = -162 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -162 + 6
-3x = -162 + 6

Combine like terms: -162 + 6 = -156
-3x = -156

Divide each side by '-3'.
x = 52

Simplifying
x = 52

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