7(4x-2)+5(6-3x)-3(4x+4)=-9

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Solution for 7(4x-2)+5(6-3x)-3(4x+4)=-9 equation:


Simplifying
7(4x + -2) + 5(6 + -3x) + -3(4x + 4) = -9

Reorder the terms:
7(-2 + 4x) + 5(6 + -3x) + -3(4x + 4) = -9
(-2 * 7 + 4x * 7) + 5(6 + -3x) + -3(4x + 4) = -9
(-14 + 28x) + 5(6 + -3x) + -3(4x + 4) = -9
-14 + 28x + (6 * 5 + -3x * 5) + -3(4x + 4) = -9
-14 + 28x + (30 + -15x) + -3(4x + 4) = -9

Reorder the terms:
-14 + 28x + 30 + -15x + -3(4 + 4x) = -9
-14 + 28x + 30 + -15x + (4 * -3 + 4x * -3) = -9
-14 + 28x + 30 + -15x + (-12 + -12x) = -9

Reorder the terms:
-14 + 30 + -12 + 28x + -15x + -12x = -9

Combine like terms: -14 + 30 = 16
16 + -12 + 28x + -15x + -12x = -9

Combine like terms: 16 + -12 = 4
4 + 28x + -15x + -12x = -9

Combine like terms: 28x + -15x = 13x
4 + 13x + -12x = -9

Combine like terms: 13x + -12x = 1x
4 + 1x = -9

Solving
4 + 1x = -9

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 1x = -9 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -9 + -4
1x = -9 + -4

Combine like terms: -9 + -4 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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