2(x-1)+1=3(x-4)+5(1-2x)+6(1+x)

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Solution for 2(x-1)+1=3(x-4)+5(1-2x)+6(1+x) equation: 


Simplifying
2(x + -1) + 1 = 3(x + -4) + 5(1 + -2x) + 6(1 + x)

Reorder the terms:
2(-1 + x) + 1 = 3(x + -4) + 5(1 + -2x) + 6(1 + x)
(-1 * 2 + x * 2) + 1 = 3(x + -4) + 5(1 + -2x) + 6(1 + x)
(-2 + 2x) + 1 = 3(x + -4) + 5(1 + -2x) + 6(1 + x)

Reorder the terms:
-2 + 1 + 2x = 3(x + -4) + 5(1 + -2x) + 6(1 + x)

Combine like terms: -2 + 1 = -1
-1 + 2x = 3(x + -4) + 5(1 + -2x) + 6(1 + x)

Reorder the terms:
-1 + 2x = 3(-4 + x) + 5(1 + -2x) + 6(1 + x)
-1 + 2x = (-4 * 3 + x * 3) + 5(1 + -2x) + 6(1 + x)
-1 + 2x = (-12 + 3x) + 5(1 + -2x) + 6(1 + x)
-1 + 2x = -12 + 3x + (1 * 5 + -2x * 5) + 6(1 + x)
-1 + 2x = -12 + 3x + (5 + -10x) + 6(1 + x)
-1 + 2x = -12 + 3x + 5 + -10x + (1 * 6 + x * 6)
-1 + 2x = -12 + 3x + 5 + -10x + (6 + 6x)

Reorder the terms:
-1 + 2x = -12 + 5 + 6 + 3x + -10x + 6x

Combine like terms: -12 + 5 = -7
-1 + 2x = -7 + 6 + 3x + -10x + 6x

Combine like terms: -7 + 6 = -1
-1 + 2x = -1 + 3x + -10x + 6x

Combine like terms: 3x + -10x = -7x
-1 + 2x = -1 + -7x + 6x

Combine like terms: -7x + 6x = -1x
-1 + 2x = -1 + -1x

Add '1' to each side of the equation.
-1 + 1 + 2x = -1 + 1 + -1x

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

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

Solving
2x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2x + x = -1x + x

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

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

Divide each side by '3'.
x = 0

Simplifying
x = 0

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