3(x+2)=-5(x-6)

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Solution for 3(x+2)=-5(x-6) equation:


Simplifying
3(x + 2) = -5(x + -6)

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

Reorder the terms:
6 + 3x = -5(-6 + x)
6 + 3x = (-6 * -5 + x * -5)
6 + 3x = (30 + -5x)

Solving
6 + 3x = 30 + -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.
6 + 3x + 5x = 30 + -5x + 5x

Combine like terms: 3x + 5x = 8x
6 + 8x = 30 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 8x = 30 + 0
6 + 8x = 30

Add '-6' to each side of the equation.
6 + -6 + 8x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 30 + -6
8x = 30 + -6

Combine like terms: 30 + -6 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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