7(4x-5)-2x=5(5x-7)+x

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Solution for 7(4x-5)-2x=5(5x-7)+x equation:


Simplifying
7(4x + -5) + -2x = 5(5x + -7) + x

Reorder the terms:
7(-5 + 4x) + -2x = 5(5x + -7) + x
(-5 * 7 + 4x * 7) + -2x = 5(5x + -7) + x
(-35 + 28x) + -2x = 5(5x + -7) + x

Combine like terms: 28x + -2x = 26x
-35 + 26x = 5(5x + -7) + x

Reorder the terms:
-35 + 26x = 5(-7 + 5x) + x
-35 + 26x = (-7 * 5 + 5x * 5) + x
-35 + 26x = (-35 + 25x) + x

Combine like terms: 25x + x = 26x
-35 + 26x = -35 + 26x

Add '35' to each side of the equation.
-35 + 35 + 26x = -35 + 35 + 26x

Combine like terms: -35 + 35 = 0
0 + 26x = -35 + 35 + 26x
26x = -35 + 35 + 26x

Combine like terms: -35 + 35 = 0
26x = 0 + 26x
26x = 26x

Add '-26x' to each side of the equation.
26x + -26x = 26x + -26x

Combine like terms: 26x + -26x = 0
0 = 26x + -26x

Combine like terms: 26x + -26x = 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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