5(2x-2)-2(x+4)=-2

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Solution for 5(2x-2)-2(x+4)=-2 equation:


Simplifying
5(2x + -2) + -2(x + 4) = -2

Reorder the terms:
5(-2 + 2x) + -2(x + 4) = -2
(-2 * 5 + 2x * 5) + -2(x + 4) = -2
(-10 + 10x) + -2(x + 4) = -2

Reorder the terms:
-10 + 10x + -2(4 + x) = -2
-10 + 10x + (4 * -2 + x * -2) = -2
-10 + 10x + (-8 + -2x) = -2

Reorder the terms:
-10 + -8 + 10x + -2x = -2

Combine like terms: -10 + -8 = -18
-18 + 10x + -2x = -2

Combine like terms: 10x + -2x = 8x
-18 + 8x = -2

Solving
-18 + 8x = -2

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 8x = -2 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = -2 + 18
8x = -2 + 18

Combine like terms: -2 + 18 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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