6(x+2)=3(x+1)-12

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Solution for 6(x+2)=3(x+1)-12 equation: 


Simplifying
6(x + 2) = 3(x + 1) + -12

Reorder the terms:
6(2 + x) = 3(x + 1) + -12
(2 * 6 + x * 6) = 3(x + 1) + -12
(12 + 6x) = 3(x + 1) + -12

Reorder the terms:
12 + 6x = 3(1 + x) + -12
12 + 6x = (1 * 3 + x * 3) + -12
12 + 6x = (3 + 3x) + -12

Reorder the terms:
12 + 6x = 3 + -12 + 3x

Combine like terms: 3 + -12 = -9
12 + 6x = -9 + 3x

Solving
12 + 6x = -9 + 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.
12 + 6x + -3x = -9 + 3x + -3x

Combine like terms: 6x + -3x = 3x
12 + 3x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 3x = -9 + 0
12 + 3x = -9

Add '-12' to each side of the equation.
12 + -12 + 3x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -9 + -12
3x = -9 + -12

Combine like terms: -9 + -12 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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