10(4x+2)=4x-12(x-1)

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Solution for 10(4x+2)=4x-12(x-1) equation: 


Simplifying
10(4x + 2) = 4x + -12(x + -1)

Reorder the terms:
10(2 + 4x) = 4x + -12(x + -1)
(2 * 10 + 4x * 10) = 4x + -12(x + -1)
(20 + 40x) = 4x + -12(x + -1)

Reorder the terms:
20 + 40x = 4x + -12(-1 + x)
20 + 40x = 4x + (-1 * -12 + x * -12)
20 + 40x = 4x + (12 + -12x)

Reorder the terms:
20 + 40x = 12 + 4x + -12x

Combine like terms: 4x + -12x = -8x
20 + 40x = 12 + -8x

Solving
20 + 40x = 12 + -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.
20 + 40x + 8x = 12 + -8x + 8x

Combine like terms: 40x + 8x = 48x
20 + 48x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
20 + 48x = 12 + 0
20 + 48x = 12

Add '-20' to each side of the equation.
20 + -20 + 48x = 12 + -20

Combine like terms: 20 + -20 = 0
0 + 48x = 12 + -20
48x = 12 + -20

Combine like terms: 12 + -20 = -8
48x = -8

Divide each side by '48'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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