12(x-10)=-8x-4(-4x+6)

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Solution for 12(x-10)=-8x-4(-4x+6) equation:


Simplifying
12(x + -10) = -8x + -4(-4x + 6)

Reorder the terms:
12(-10 + x) = -8x + -4(-4x + 6)
(-10 * 12 + x * 12) = -8x + -4(-4x + 6)
(-120 + 12x) = -8x + -4(-4x + 6)

Reorder the terms:
-120 + 12x = -8x + -4(6 + -4x)
-120 + 12x = -8x + (6 * -4 + -4x * -4)
-120 + 12x = -8x + (-24 + 16x)

Reorder the terms:
-120 + 12x = -24 + -8x + 16x

Combine like terms: -8x + 16x = 8x
-120 + 12x = -24 + 8x

Solving
-120 + 12x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-120 + 12x + -8x = -24 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-120 + 4x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-120 + 4x = -24 + 0
-120 + 4x = -24

Add '120' to each side of the equation.
-120 + 120 + 4x = -24 + 120

Combine like terms: -120 + 120 = 0
0 + 4x = -24 + 120
4x = -24 + 120

Combine like terms: -24 + 120 = 96
4x = 96

Divide each side by '4'.
x = 24

Simplifying
x = 24

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