2(x+4)=-3(x-6)

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Solution for 2(x+4)=-3(x-6) equation:


Simplifying
2(x + 4) = -3(x + -6)

Reorder the terms:
2(4 + x) = -3(x + -6)
(4 * 2 + x * 2) = -3(x + -6)
(8 + 2x) = -3(x + -6)

Reorder the terms:
8 + 2x = -3(-6 + x)
8 + 2x = (-6 * -3 + x * -3)
8 + 2x = (18 + -3x)

Solving
8 + 2x = 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.
8 + 2x + 3x = 18 + -3x + 3x

Combine like terms: 2x + 3x = 5x
8 + 5x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 5x = 18 + 0
8 + 5x = 18

Add '-8' to each side of the equation.
8 + -8 + 5x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 18 + -8
5x = 18 + -8

Combine like terms: 18 + -8 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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