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

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


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

Reorder the terms:
5x + -2(-2 + x) = -8 + 5x + 2
5x + (-2 * -2 + x * -2) = -8 + 5x + 2
5x + (4 + -2x) = -8 + 5x + 2

Reorder the terms:
4 + 5x + -2x = -8 + 5x + 2

Combine like terms: 5x + -2x = 3x
4 + 3x = -8 + 5x + 2

Reorder the terms:
4 + 3x = -8 + 2 + 5x

Combine like terms: -8 + 2 = -6
4 + 3x = -6 + 5x

Solving
4 + 3x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 3x + -5x = -6 + 5x + -5x

Combine like terms: 3x + -5x = -2x
4 + -2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -2x = -6 + 0
4 + -2x = -6

Add '-4' to each side of the equation.
4 + -4 + -2x = -6 + -4

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

Combine like terms: -6 + -4 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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