x+2=-3(x-2)-24

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Solution for x+2=-3(x-2)-24 equation: 


Simplifying
x + 2 = -3(x + -2) + -24

Reorder the terms:
2 + x = -3(x + -2) + -24

Reorder the terms:
2 + x = -3(-2 + x) + -24
2 + x = (-2 * -3 + x * -3) + -24
2 + x = (6 + -3x) + -24

Reorder the terms:
2 + x = 6 + -24 + -3x

Combine like terms: 6 + -24 = -18
2 + x = -18 + -3x

Solving
2 + x = -18 + -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.
2 + x + 3x = -18 + -3x + 3x

Combine like terms: x + 3x = 4x
2 + 4x = -18 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 4x = -18 + 0
2 + 4x = -18

Add '-2' to each side of the equation.
2 + -2 + 4x = -18 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -18 + -2
4x = -18 + -2

Combine like terms: -18 + -2 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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