3x+7-5x=-2(x-3)+1

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Solution for 3x+7-5x=-2(x-3)+1 equation: 


Simplifying
3x + 7 + -5x = -2(x + -3) + 1

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

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

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

Reorder the terms:
7 + -2x = 6 + 1 + -2x

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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