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

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


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

Reorder the terms:
2(2 + x) = -5 + -2(x + -3)
(2 * 2 + x * 2) = -5 + -2(x + -3)
(4 + 2x) = -5 + -2(x + -3)

Reorder the terms:
4 + 2x = -5 + -2(-3 + x)
4 + 2x = -5 + (-3 * -2 + x * -2)
4 + 2x = -5 + (6 + -2x)

Combine like terms: -5 + 6 = 1
4 + 2x = 1 + -2x

Solving
4 + 2x = 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.
4 + 2x + 2x = 1 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
4 + 4x = 1 + 0
4 + 4x = 1

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

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

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

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

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