2+3(x-1)+6(x+2)=5-2(x+3)+1

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Solution for 2+3(x-1)+6(x+2)=5-2(x+3)+1 equation: 


Simplifying
2 + 3(x + -1) + 6(x + 2) = 5 + -2(x + 3) + 1

Reorder the terms:
2 + 3(-1 + x) + 6(x + 2) = 5 + -2(x + 3) + 1
2 + (-1 * 3 + x * 3) + 6(x + 2) = 5 + -2(x + 3) + 1
2 + (-3 + 3x) + 6(x + 2) = 5 + -2(x + 3) + 1

Reorder the terms:
2 + -3 + 3x + 6(2 + x) = 5 + -2(x + 3) + 1
2 + -3 + 3x + (2 * 6 + x * 6) = 5 + -2(x + 3) + 1
2 + -3 + 3x + (12 + 6x) = 5 + -2(x + 3) + 1

Reorder the terms:
2 + -3 + 12 + 3x + 6x = 5 + -2(x + 3) + 1

Combine like terms: 2 + -3 = -1
-1 + 12 + 3x + 6x = 5 + -2(x + 3) + 1

Combine like terms: -1 + 12 = 11
11 + 3x + 6x = 5 + -2(x + 3) + 1

Combine like terms: 3x + 6x = 9x
11 + 9x = 5 + -2(x + 3) + 1

Reorder the terms:
11 + 9x = 5 + -2(3 + x) + 1
11 + 9x = 5 + (3 * -2 + x * -2) + 1
11 + 9x = 5 + (-6 + -2x) + 1

Reorder the terms:
11 + 9x = 5 + -6 + 1 + -2x

Combine like terms: 5 + -6 = -1
11 + 9x = -1 + 1 + -2x

Combine like terms: -1 + 1 = 0
11 + 9x = 0 + -2x
11 + 9x = -2x

Solving
11 + 9x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
11 + 9x + 2x = -2x + 2x

Combine like terms: 9x + 2x = 11x
11 + 11x = -2x + 2x

Combine like terms: -2x + 2x = 0
11 + 11x = 0

Add '-11' to each side of the equation.
11 + -11 + 11x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 11x = 0 + -11
11x = 0 + -11

Combine like terms: 0 + -11 = -11
11x = -11

Divide each side by '11'.
x = -1

Simplifying
x = -1

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