7(x+1)+x-6=-5x+2x-21

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Solution for 7(x+1)+x-6=-5x+2x-21 equation: 


Simplifying
7(x + 1) + x + -6 = -5x + 2x + -21

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

Reorder the terms:
7 + -6 + 7x + x = -5x + 2x + -21

Combine like terms: 7 + -6 = 1
1 + 7x + x = -5x + 2x + -21

Combine like terms: 7x + x = 8x
1 + 8x = -5x + 2x + -21

Reorder the terms:
1 + 8x = -21 + -5x + 2x

Combine like terms: -5x + 2x = -3x
1 + 8x = -21 + -3x

Solving
1 + 8x = -21 + -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.
1 + 8x + 3x = -21 + -3x + 3x

Combine like terms: 8x + 3x = 11x
1 + 11x = -21 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 11x = -21 + 0
1 + 11x = -21

Add '-1' to each side of the equation.
1 + -1 + 11x = -21 + -1

Combine like terms: 1 + -1 = 0
0 + 11x = -21 + -1
11x = -21 + -1

Combine like terms: -21 + -1 = -22
11x = -22

Divide each side by '11'.
x = -2

Simplifying
x = -2

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