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

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


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

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

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

Reorder the terms:
-7 + 2x = 2(-5 + x) + 3
-7 + 2x = (-5 * 2 + x * 2) + 3
-7 + 2x = (-10 + 2x) + 3

Reorder the terms:
-7 + 2x = -10 + 3 + 2x

Combine like terms: -10 + 3 = -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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