6(x+1)-2(2x+3)=10-22x-12(x-1)+3x

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Solution for 6(x+1)-2(2x+3)=10-22x-12(x-1)+3x equation: 


Simplifying
6(x + 1) + -2(2x + 3) = 10 + -22x + -12(x + -1) + 3x

Reorder the terms:
6(1 + x) + -2(2x + 3) = 10 + -22x + -12(x + -1) + 3x
(1 * 6 + x * 6) + -2(2x + 3) = 10 + -22x + -12(x + -1) + 3x
(6 + 6x) + -2(2x + 3) = 10 + -22x + -12(x + -1) + 3x

Reorder the terms:
6 + 6x + -2(3 + 2x) = 10 + -22x + -12(x + -1) + 3x
6 + 6x + (3 * -2 + 2x * -2) = 10 + -22x + -12(x + -1) + 3x
6 + 6x + (-6 + -4x) = 10 + -22x + -12(x + -1) + 3x

Reorder the terms:
6 + -6 + 6x + -4x = 10 + -22x + -12(x + -1) + 3x

Combine like terms: 6 + -6 = 0
0 + 6x + -4x = 10 + -22x + -12(x + -1) + 3x
6x + -4x = 10 + -22x + -12(x + -1) + 3x

Combine like terms: 6x + -4x = 2x
2x = 10 + -22x + -12(x + -1) + 3x

Reorder the terms:
2x = 10 + -22x + -12(-1 + x) + 3x
2x = 10 + -22x + (-1 * -12 + x * -12) + 3x
2x = 10 + -22x + (12 + -12x) + 3x

Reorder the terms:
2x = 10 + 12 + -22x + -12x + 3x

Combine like terms: 10 + 12 = 22
2x = 22 + -22x + -12x + 3x

Combine like terms: -22x + -12x = -34x
2x = 22 + -34x + 3x

Combine like terms: -34x + 3x = -31x
2x = 22 + -31x

Solving
2x = 22 + -31x

Solving for variable 'x'.

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

Add '31x' to each side of the equation.
2x + 31x = 22 + -31x + 31x

Combine like terms: 2x + 31x = 33x
33x = 22 + -31x + 31x

Combine like terms: -31x + 31x = 0
33x = 22 + 0
33x = 22

Divide each side by '33'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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