2(x+2)=5(x-1)-12

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Solution for 2(x+2)=5(x-1)-12 equation:


Simplifying
2(x + 2) = 5(x + -1) + -12

Reorder the terms:
2(2 + x) = 5(x + -1) + -12
(2 * 2 + x * 2) = 5(x + -1) + -12
(4 + 2x) = 5(x + -1) + -12

Reorder the terms:
4 + 2x = 5(-1 + x) + -12
4 + 2x = (-1 * 5 + x * 5) + -12
4 + 2x = (-5 + 5x) + -12

Reorder the terms:
4 + 2x = -5 + -12 + 5x

Combine like terms: -5 + -12 = -17
4 + 2x = -17 + 5x

Solving
4 + 2x = -17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 2x + -5x = -17 + 5x + -5x

Combine like terms: 2x + -5x = -3x
4 + -3x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -3x = -17 + 0
4 + -3x = -17

Add '-4' to each side of the equation.
4 + -4 + -3x = -17 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -17 + -4
-3x = -17 + -4

Combine like terms: -17 + -4 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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