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

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


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

Reorder the terms:
3(4 + x) + 2x = 2(x + 6) + 2x
(4 * 3 + x * 3) + 2x = 2(x + 6) + 2x
(12 + 3x) + 2x = 2(x + 6) + 2x

Combine like terms: 3x + 2x = 5x
12 + 5x = 2(x + 6) + 2x

Reorder the terms:
12 + 5x = 2(6 + x) + 2x
12 + 5x = (6 * 2 + x * 2) + 2x
12 + 5x = (12 + 2x) + 2x

Combine like terms: 2x + 2x = 4x
12 + 5x = 12 + 4x

Add '-12' to each side of the equation.
12 + -12 + 5x = 12 + -12 + 4x

Combine like terms: 12 + -12 = 0
0 + 5x = 12 + -12 + 4x
5x = 12 + -12 + 4x

Combine like terms: 12 + -12 = 0
5x = 0 + 4x
5x = 4x

Solving
5x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5x + -4x = 4x + -4x

Combine like terms: 5x + -4x = 1x
1x = 4x + -4x

Combine like terms: 4x + -4x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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