-12(5+3x)+3(4x-2)=-9x-4x

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Solution for -12(5+3x)+3(4x-2)=-9x-4x equation:


Simplifying
-12(5 + 3x) + 3(4x + -2) = -9x + -4x
(5 * -12 + 3x * -12) + 3(4x + -2) = -9x + -4x
(-60 + -36x) + 3(4x + -2) = -9x + -4x

Reorder the terms:
-60 + -36x + 3(-2 + 4x) = -9x + -4x
-60 + -36x + (-2 * 3 + 4x * 3) = -9x + -4x
-60 + -36x + (-6 + 12x) = -9x + -4x

Reorder the terms:
-60 + -6 + -36x + 12x = -9x + -4x

Combine like terms: -60 + -6 = -66
-66 + -36x + 12x = -9x + -4x

Combine like terms: -36x + 12x = -24x
-66 + -24x = -9x + -4x

Combine like terms: -9x + -4x = -13x
-66 + -24x = -13x

Solving
-66 + -24x = -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
-66 + -24x + 13x = -13x + 13x

Combine like terms: -24x + 13x = -11x
-66 + -11x = -13x + 13x

Combine like terms: -13x + 13x = 0
-66 + -11x = 0

Add '66' to each side of the equation.
-66 + 66 + -11x = 0 + 66

Combine like terms: -66 + 66 = 0
0 + -11x = 0 + 66
-11x = 0 + 66

Combine like terms: 0 + 66 = 66
-11x = 66

Divide each side by '-11'.
x = -6

Simplifying
x = -6

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