3-(x-6)+3x+6=x+14

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Solution for 3-(x-6)+3x+6=x+14 equation:


Simplifying
3 + -1(x + -6) + 3x + 6 = x + 14

Reorder the terms:
3 + -1(-6 + x) + 3x + 6 = x + 14
3 + (-6 * -1 + x * -1) + 3x + 6 = x + 14
3 + (6 + -1x) + 3x + 6 = x + 14

Reorder the terms:
3 + 6 + 6 + -1x + 3x = x + 14

Combine like terms: 3 + 6 = 9
9 + 6 + -1x + 3x = x + 14

Combine like terms: 9 + 6 = 15
15 + -1x + 3x = x + 14

Combine like terms: -1x + 3x = 2x
15 + 2x = x + 14

Reorder the terms:
15 + 2x = 14 + x

Solving
15 + 2x = 14 + 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.
15 + 2x + -1x = 14 + x + -1x

Combine like terms: 2x + -1x = 1x
15 + 1x = 14 + x + -1x

Combine like terms: x + -1x = 0
15 + 1x = 14 + 0
15 + 1x = 14

Add '-15' to each side of the equation.
15 + -15 + 1x = 14 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 14 + -15
1x = 14 + -15

Combine like terms: 14 + -15 = -1
1x = -1

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

Simplifying
x = -1

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