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

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


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

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

Reorder the terms:
-2 + -1x = -5 + -2(-3 + x)
-2 + -1x = -5 + (-3 * -2 + x * -2)
-2 + -1x = -5 + (6 + -2x)

Combine like terms: -5 + 6 = 1
-2 + -1x = 1 + -2x

Solving
-2 + -1x = 1 + -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.
-2 + -1x + 2x = 1 + -2x + 2x

Combine like terms: -1x + 2x = 1x
-2 + 1x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 1x = 1 + 0
-2 + 1x = 1

Add '2' to each side of the equation.
-2 + 2 + 1x = 1 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 1 + 2
1x = 1 + 2

Combine like terms: 1 + 2 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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