2+3x-(x+1)+2=2(x+6)-(-3)+x

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Solution for 2+3x-(x+1)+2=2(x+6)-(-3)+x equation: 


Simplifying
2 + 3x + -1(x + 1) + 2 = 2(x + 6) + -1(-3) + x

Reorder the terms:
2 + 3x + -1(1 + x) + 2 = 2(x + 6) + -1(-3) + x
2 + 3x + (1 * -1 + x * -1) + 2 = 2(x + 6) + -1(-3) + x
2 + 3x + (-1 + -1x) + 2 = 2(x + 6) + -1(-3) + x

Reorder the terms:
2 + -1 + 2 + 3x + -1x = 2(x + 6) + -1(-3) + x

Combine like terms: 2 + -1 = 1
1 + 2 + 3x + -1x = 2(x + 6) + -1(-3) + x

Combine like terms: 1 + 2 = 3
3 + 3x + -1x = 2(x + 6) + -1(-3) + x

Combine like terms: 3x + -1x = 2x
3 + 2x = 2(x + 6) + -1(-3) + x

Reorder the terms:
3 + 2x = 2(6 + x) + -1(-3) + x
3 + 2x = (6 * 2 + x * 2) + -1(-3) + x
3 + 2x = (12 + 2x) + -1(-3) + x

Multiply -1 * -3
3 + 2x = 12 + 2x + 3 + x

Reorder the terms:
3 + 2x = 12 + 3 + 2x + x

Combine like terms: 12 + 3 = 15
3 + 2x = 15 + 2x + x

Combine like terms: 2x + x = 3x
3 + 2x = 15 + 3x

Solving
3 + 2x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + 2x + -3x = 15 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
3 + -1x = 15 + 0
3 + -1x = 15

Add '-3' to each side of the equation.
3 + -3 + -1x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 15 + -3
-1x = 15 + -3

Combine like terms: 15 + -3 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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