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

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


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

Reorder the terms:
2 + -5(2 + x) = -8 + -2(x + 5) + 2x
2 + (2 * -5 + x * -5) = -8 + -2(x + 5) + 2x
2 + (-10 + -5x) = -8 + -2(x + 5) + 2x

Combine like terms: 2 + -10 = -8
-8 + -5x = -8 + -2(x + 5) + 2x

Reorder the terms:
-8 + -5x = -8 + -2(5 + x) + 2x
-8 + -5x = -8 + (5 * -2 + x * -2) + 2x
-8 + -5x = -8 + (-10 + -2x) + 2x

Combine like terms: -8 + -10 = -18
-8 + -5x = -18 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + -5x = -18 + 0
-8 + -5x = -18

Solving
-8 + -5x = -18

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -5x = -18 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = -18 + 8
-5x = -18 + 8

Combine like terms: -18 + 8 = -10
-5x = -10

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

Simplifying
x = 2

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