3(x+4)+3x=5(x-6)

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Solution for 3(x+4)+3x=5(x-6) equation:


Simplifying
3(x + 4) + 3x = 5(x + -6)

Reorder the terms:
3(4 + x) + 3x = 5(x + -6)
(4 * 3 + x * 3) + 3x = 5(x + -6)
(12 + 3x) + 3x = 5(x + -6)

Combine like terms: 3x + 3x = 6x
12 + 6x = 5(x + -6)

Reorder the terms:
12 + 6x = 5(-6 + x)
12 + 6x = (-6 * 5 + x * 5)
12 + 6x = (-30 + 5x)

Solving
12 + 6x = -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.
12 + 6x + -5x = -30 + 5x + -5x

Combine like terms: 6x + -5x = 1x
12 + 1x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 1x = -30 + 0
12 + 1x = -30

Add '-12' to each side of the equation.
12 + -12 + 1x = -30 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = -30 + -12
1x = -30 + -12

Combine like terms: -30 + -12 = -42
1x = -42

Divide each side by '1'.
x = -42

Simplifying
x = -42

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