10-2(2x+3)+x=1-(x-7)

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Solution for 10-2(2x+3)+x=1-(x-7) equation: 


Simplifying
10 + -2(2x + 3) + x = 1 + -1(x + -7)

Reorder the terms:
10 + -2(3 + 2x) + x = 1 + -1(x + -7)
10 + (3 * -2 + 2x * -2) + x = 1 + -1(x + -7)
10 + (-6 + -4x) + x = 1 + -1(x + -7)

Combine like terms: 10 + -6 = 4
4 + -4x + x = 1 + -1(x + -7)

Combine like terms: -4x + x = -3x
4 + -3x = 1 + -1(x + -7)

Reorder the terms:
4 + -3x = 1 + -1(-7 + x)
4 + -3x = 1 + (-7 * -1 + x * -1)
4 + -3x = 1 + (7 + -1x)

Combine like terms: 1 + 7 = 8
4 + -3x = 8 + -1x

Solving
4 + -3x = 8 + -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.
4 + -3x + x = 8 + -1x + x

Combine like terms: -3x + x = -2x
4 + -2x = 8 + -1x + x

Combine like terms: -1x + x = 0
4 + -2x = 8 + 0
4 + -2x = 8

Add '-4' to each side of the equation.
4 + -4 + -2x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 8 + -4
-2x = 8 + -4

Combine like terms: 8 + -4 = 4
-2x = 4

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

Simplifying
x = -2

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