2x+2-2(-5x-5)=2(x-3)

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Solution for 2x+2-2(-5x-5)=2(x-3) equation:


Simplifying
2x + 2 + -2(-5x + -5) = 2(x + -3)

Reorder the terms:
2x + 2 + -2(-5 + -5x) = 2(x + -3)
2x + 2 + (-5 * -2 + -5x * -2) = 2(x + -3)
2x + 2 + (10 + 10x) = 2(x + -3)

Reorder the terms:
2 + 10 + 2x + 10x = 2(x + -3)

Combine like terms: 2 + 10 = 12
12 + 2x + 10x = 2(x + -3)

Combine like terms: 2x + 10x = 12x
12 + 12x = 2(x + -3)

Reorder the terms:
12 + 12x = 2(-3 + x)
12 + 12x = (-3 * 2 + x * 2)
12 + 12x = (-6 + 2x)

Solving
12 + 12x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 12x + -2x = -6 + 2x + -2x

Combine like terms: 12x + -2x = 10x
12 + 10x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 10x = -6 + 0
12 + 10x = -6

Add '-12' to each side of the equation.
12 + -12 + 10x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = -6 + -12
10x = -6 + -12

Combine like terms: -6 + -12 = -18
10x = -18

Divide each side by '10'.
x = -1.8

Simplifying
x = -1.8

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