3(x+4)=(x-6)+32

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Solution for 3(x+4)=(x-6)+32 equation:


Simplifying
3(x + 4) = (x + -6) + 32

Reorder the terms:
3(4 + x) = (x + -6) + 32
(4 * 3 + x * 3) = (x + -6) + 32
(12 + 3x) = (x + -6) + 32

Reorder the terms:
12 + 3x = (-6 + x) + 32

Remove parenthesis around (-6 + x)
12 + 3x = -6 + x + 32

Reorder the terms:
12 + 3x = -6 + 32 + x

Combine like terms: -6 + 32 = 26
12 + 3x = 26 + x

Solving
12 + 3x = 26 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 3x + -1x = 26 + x + -1x

Combine like terms: 3x + -1x = 2x
12 + 2x = 26 + x + -1x

Combine like terms: x + -1x = 0
12 + 2x = 26 + 0
12 + 2x = 26

Add '-12' to each side of the equation.
12 + -12 + 2x = 26 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 26 + -12
2x = 26 + -12

Combine like terms: 26 + -12 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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