4(x-7)+x=5(x-6)+2

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Solution for 4(x-7)+x=5(x-6)+2 equation:


Simplifying
4(x + -7) + x = 5(x + -6) + 2

Reorder the terms:
4(-7 + x) + x = 5(x + -6) + 2
(-7 * 4 + x * 4) + x = 5(x + -6) + 2
(-28 + 4x) + x = 5(x + -6) + 2

Combine like terms: 4x + x = 5x
-28 + 5x = 5(x + -6) + 2

Reorder the terms:
-28 + 5x = 5(-6 + x) + 2
-28 + 5x = (-6 * 5 + x * 5) + 2
-28 + 5x = (-30 + 5x) + 2

Reorder the terms:
-28 + 5x = -30 + 2 + 5x

Combine like terms: -30 + 2 = -28
-28 + 5x = -28 + 5x

Add '28' to each side of the equation.
-28 + 28 + 5x = -28 + 28 + 5x

Combine like terms: -28 + 28 = 0
0 + 5x = -28 + 28 + 5x
5x = -28 + 28 + 5x

Combine like terms: -28 + 28 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 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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