12-2(x+3)-4(3x+6)=10

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Solution for 12-2(x+3)-4(3x+6)=10 equation: 


Simplifying
12 + -2(x + 3) + -4(3x + 6) = 10

Reorder the terms:
12 + -2(3 + x) + -4(3x + 6) = 10
12 + (3 * -2 + x * -2) + -4(3x + 6) = 10
12 + (-6 + -2x) + -4(3x + 6) = 10

Reorder the terms:
12 + -6 + -2x + -4(6 + 3x) = 10
12 + -6 + -2x + (6 * -4 + 3x * -4) = 10
12 + -6 + -2x + (-24 + -12x) = 10

Reorder the terms:
12 + -6 + -24 + -2x + -12x = 10

Combine like terms: 12 + -6 = 6
6 + -24 + -2x + -12x = 10

Combine like terms: 6 + -24 = -18
-18 + -2x + -12x = 10

Combine like terms: -2x + -12x = -14x
-18 + -14x = 10

Solving
-18 + -14x = 10

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + -14x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + -14x = 10 + 18
-14x = 10 + 18

Combine like terms: 10 + 18 = 28
-14x = 28

Divide each side by '-14'.
x = -2

Simplifying
x = -2

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