5(x-1)-2(x+3)-2x=-8

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Solution for 5(x-1)-2(x+3)-2x=-8 equation:


Simplifying
5(x + -1) + -2(x + 3) + -2x = -8

Reorder the terms:
5(-1 + x) + -2(x + 3) + -2x = -8
(-1 * 5 + x * 5) + -2(x + 3) + -2x = -8
(-5 + 5x) + -2(x + 3) + -2x = -8

Reorder the terms:
-5 + 5x + -2(3 + x) + -2x = -8
-5 + 5x + (3 * -2 + x * -2) + -2x = -8
-5 + 5x + (-6 + -2x) + -2x = -8

Reorder the terms:
-5 + -6 + 5x + -2x + -2x = -8

Combine like terms: -5 + -6 = -11
-11 + 5x + -2x + -2x = -8

Combine like terms: 5x + -2x = 3x
-11 + 3x + -2x = -8

Combine like terms: 3x + -2x = 1x
-11 + 1x = -8

Solving
-11 + 1x = -8

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 1x = -8 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = -8 + 11
1x = -8 + 11

Combine like terms: -8 + 11 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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