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

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


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

Reorder the terms:
-2(-7 + x) + 1 = x + -1(x + -7)
(-7 * -2 + x * -2) + 1 = x + -1(x + -7)
(14 + -2x) + 1 = x + -1(x + -7)

Reorder the terms:
14 + 1 + -2x = x + -1(x + -7)

Combine like terms: 14 + 1 = 15
15 + -2x = x + -1(x + -7)

Reorder the terms:
15 + -2x = x + -1(-7 + x)
15 + -2x = x + (-7 * -1 + x * -1)
15 + -2x = x + (7 + -1x)

Reorder the terms:
15 + -2x = 7 + x + -1x

Combine like terms: x + -1x = 0
15 + -2x = 7 + 0
15 + -2x = 7

Solving
15 + -2x = 7

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -2x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 7 + -15
-2x = 7 + -15

Combine like terms: 7 + -15 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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