2(-4x+6)+8=4(x-15)

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Solution for 2(-4x+6)+8=4(x-15) equation: 


Simplifying
2(-4x + 6) + 8 = 4(x + -15)

Reorder the terms:
2(6 + -4x) + 8 = 4(x + -15)
(6 * 2 + -4x * 2) + 8 = 4(x + -15)
(12 + -8x) + 8 = 4(x + -15)

Reorder the terms:
12 + 8 + -8x = 4(x + -15)

Combine like terms: 12 + 8 = 20
20 + -8x = 4(x + -15)

Reorder the terms:
20 + -8x = 4(-15 + x)
20 + -8x = (-15 * 4 + x * 4)
20 + -8x = (-60 + 4x)

Solving
20 + -8x = -60 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + -8x + -4x = -60 + 4x + -4x

Combine like terms: -8x + -4x = -12x
20 + -12x = -60 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -12x = -60 + 0
20 + -12x = -60

Add '-20' to each side of the equation.
20 + -20 + -12x = -60 + -20

Combine like terms: 20 + -20 = 0
0 + -12x = -60 + -20
-12x = -60 + -20

Combine like terms: -60 + -20 = -80
-12x = -80

Divide each side by '-12'.
x = 6.666666667

Simplifying
x = 6.666666667

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