5(4x-3)-2(6-6x)+10(-2x+7)=4(9-12x)

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Solution for 5(4x-3)-2(6-6x)+10(-2x+7)=4(9-12x) equation:


Simplifying
5(4x + -3) + -2(6 + -6x) + 10(-2x + 7) = 4(9 + -12x)

Reorder the terms:
5(-3 + 4x) + -2(6 + -6x) + 10(-2x + 7) = 4(9 + -12x)
(-3 * 5 + 4x * 5) + -2(6 + -6x) + 10(-2x + 7) = 4(9 + -12x)
(-15 + 20x) + -2(6 + -6x) + 10(-2x + 7) = 4(9 + -12x)
-15 + 20x + (6 * -2 + -6x * -2) + 10(-2x + 7) = 4(9 + -12x)
-15 + 20x + (-12 + 12x) + 10(-2x + 7) = 4(9 + -12x)

Reorder the terms:
-15 + 20x + -12 + 12x + 10(7 + -2x) = 4(9 + -12x)
-15 + 20x + -12 + 12x + (7 * 10 + -2x * 10) = 4(9 + -12x)
-15 + 20x + -12 + 12x + (70 + -20x) = 4(9 + -12x)

Reorder the terms:
-15 + -12 + 70 + 20x + 12x + -20x = 4(9 + -12x)

Combine like terms: -15 + -12 = -27
-27 + 70 + 20x + 12x + -20x = 4(9 + -12x)

Combine like terms: -27 + 70 = 43
43 + 20x + 12x + -20x = 4(9 + -12x)

Combine like terms: 20x + 12x = 32x
43 + 32x + -20x = 4(9 + -12x)

Combine like terms: 32x + -20x = 12x
43 + 12x = 4(9 + -12x)
43 + 12x = (9 * 4 + -12x * 4)
43 + 12x = (36 + -48x)

Solving
43 + 12x = 36 + -48x

Solving for variable 'x'.

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

Add '48x' to each side of the equation.
43 + 12x + 48x = 36 + -48x + 48x

Combine like terms: 12x + 48x = 60x
43 + 60x = 36 + -48x + 48x

Combine like terms: -48x + 48x = 0
43 + 60x = 36 + 0
43 + 60x = 36

Add '-43' to each side of the equation.
43 + -43 + 60x = 36 + -43

Combine like terms: 43 + -43 = 0
0 + 60x = 36 + -43
60x = 36 + -43

Combine like terms: 36 + -43 = -7
60x = -7

Divide each side by '60'.
x = -0.1166666667

Simplifying
x = -0.1166666667

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