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 = -2x
6 + -2x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -2x = -30 + 0
6 + -2x = -30

Add '-6' to each side of the equation.
6 + -6 + -2x = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -30 + -6
-2x = -30 + -6

Combine like terms: -30 + -6 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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