-3x+2(1-x)=-3(2x+7)-1

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Solution for -3x+2(1-x)=-3(2x+7)-1 equation: 


Simplifying
-3x + 2(1 + -1x) = -3(2x + 7) + -1
-3x + (1 * 2 + -1x * 2) = -3(2x + 7) + -1
-3x + (2 + -2x) = -3(2x + 7) + -1

Reorder the terms:
2 + -3x + -2x = -3(2x + 7) + -1

Combine like terms: -3x + -2x = -5x
2 + -5x = -3(2x + 7) + -1

Reorder the terms:
2 + -5x = -3(7 + 2x) + -1
2 + -5x = (7 * -3 + 2x * -3) + -1
2 + -5x = (-21 + -6x) + -1

Reorder the terms:
2 + -5x = -21 + -1 + -6x

Combine like terms: -21 + -1 = -22
2 + -5x = -22 + -6x

Solving
2 + -5x = -22 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
2 + -5x + 6x = -22 + -6x + 6x

Combine like terms: -5x + 6x = 1x
2 + 1x = -22 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 1x = -22 + 0
2 + 1x = -22

Add '-2' to each side of the equation.
2 + -2 + 1x = -22 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -22 + -2
1x = -22 + -2

Combine like terms: -22 + -2 = -24
1x = -24

Divide each side by '1'.
x = -24

Simplifying
x = -24

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