5(x+2)=-4(x-1)-12

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Solution for 5(x+2)=-4(x-1)-12 equation: 


Simplifying
5(x + 2) = -4(x + -1) + -12

Reorder the terms:
5(2 + x) = -4(x + -1) + -12
(2 * 5 + x * 5) = -4(x + -1) + -12
(10 + 5x) = -4(x + -1) + -12

Reorder the terms:
10 + 5x = -4(-1 + x) + -12
10 + 5x = (-1 * -4 + x * -4) + -12
10 + 5x = (4 + -4x) + -12

Reorder the terms:
10 + 5x = 4 + -12 + -4x

Combine like terms: 4 + -12 = -8
10 + 5x = -8 + -4x

Solving
10 + 5x = -8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + 5x + 4x = -8 + -4x + 4x

Combine like terms: 5x + 4x = 9x
10 + 9x = -8 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 9x = -8 + 0
10 + 9x = -8

Add '-10' to each side of the equation.
10 + -10 + 9x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = -8 + -10
9x = -8 + -10

Combine like terms: -8 + -10 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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