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

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


Simplifying
2(x + -2) + -1(2x + 4) = 4(6x + 6)

Reorder the terms:
2(-2 + x) + -1(2x + 4) = 4(6x + 6)
(-2 * 2 + x * 2) + -1(2x + 4) = 4(6x + 6)
(-4 + 2x) + -1(2x + 4) = 4(6x + 6)

Reorder the terms:
-4 + 2x + -1(4 + 2x) = 4(6x + 6)
-4 + 2x + (4 * -1 + 2x * -1) = 4(6x + 6)
-4 + 2x + (-4 + -2x) = 4(6x + 6)

Reorder the terms:
-4 + -4 + 2x + -2x = 4(6x + 6)

Combine like terms: -4 + -4 = -8
-8 + 2x + -2x = 4(6x + 6)

Combine like terms: 2x + -2x = 0
-8 + 0 = 4(6x + 6)
-8 = 4(6x + 6)

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

Solving
-8 = 24 + 24x

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: 24 + 8 = 32
-24x = 32

Divide each side by '-24'.
x = -1.333333333

Simplifying
x = -1.333333333

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