-2(x-5)+10=-3(x+2)+2

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Solution for -2(x-5)+10=-3(x+2)+2 equation: 


Simplifying
-2(x + -5) + 10 = -3(x + 2) + 2

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

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

Combine like terms: 10 + 10 = 20
20 + -2x = -3(x + 2) + 2

Reorder the terms:
20 + -2x = -3(2 + x) + 2
20 + -2x = (2 * -3 + x * -3) + 2
20 + -2x = (-6 + -3x) + 2

Reorder the terms:
20 + -2x = -6 + 2 + -3x

Combine like terms: -6 + 2 = -4
20 + -2x = -4 + -3x

Solving
20 + -2x = -4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
20 + -2x + 3x = -4 + -3x + 3x

Combine like terms: -2x + 3x = 1x
20 + 1x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + 1x = -4 + 0
20 + 1x = -4

Add '-20' to each side of the equation.
20 + -20 + 1x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -4 + -20
1x = -4 + -20

Combine like terms: -4 + -20 = -24
1x = -24

Divide each side by '1'.
x = -24

Simplifying
x = -24

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