3(x-5)+x=4(x-7)+13

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Solution for 3(x-5)+x=4(x-7)+13 equation: 


Simplifying
3(x + -5) + x = 4(x + -7) + 13

Reorder the terms:
3(-5 + x) + x = 4(x + -7) + 13
(-5 * 3 + x * 3) + x = 4(x + -7) + 13
(-15 + 3x) + x = 4(x + -7) + 13

Combine like terms: 3x + x = 4x
-15 + 4x = 4(x + -7) + 13

Reorder the terms:
-15 + 4x = 4(-7 + x) + 13
-15 + 4x = (-7 * 4 + x * 4) + 13
-15 + 4x = (-28 + 4x) + 13

Reorder the terms:
-15 + 4x = -28 + 13 + 4x

Combine like terms: -28 + 13 = -15
-15 + 4x = -15 + 4x

Add '15' to each side of the equation.
-15 + 15 + 4x = -15 + 15 + 4x

Combine like terms: -15 + 15 = 0
0 + 4x = -15 + 15 + 4x
4x = -15 + 15 + 4x

Combine like terms: -15 + 15 = 0
4x = 0 + 4x
4x = 4x

Add '-4x' to each side of the equation.
4x + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
0 = 4x + -4x

Combine like terms: 4x + -4x = 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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