-5x+7-(-3x+1)=x

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Solution for -5x+7-(-3x+1)=x equation:


Simplifying
-5x + 7 + -1(-3x + 1) = x

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

Reorder the terms:
7 + -1 + -5x + 3x = x

Combine like terms: 7 + -1 = 6
6 + -5x + 3x = x

Combine like terms: -5x + 3x = -2x
6 + -2x = x

Solving
6 + -2x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -2x + -1x = x + -1x

Combine like terms: -2x + -1x = -3x
6 + -3x = x + -1x

Combine like terms: x + -1x = 0
6 + -3x = 0

Add '-6' to each side of the equation.
6 + -6 + -3x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 0 + -6
-3x = 0 + -6

Combine like terms: 0 + -6 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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