4(x-2)-1=3(x-3)+x

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Solution for 4(x-2)-1=3(x-3)+x equation: 


Simplifying
4(x + -2) + -1 = 3(x + -3) + x

Reorder the terms:
4(-2 + x) + -1 = 3(x + -3) + x
(-2 * 4 + x * 4) + -1 = 3(x + -3) + x
(-8 + 4x) + -1 = 3(x + -3) + x

Reorder the terms:
-8 + -1 + 4x = 3(x + -3) + x

Combine like terms: -8 + -1 = -9
-9 + 4x = 3(x + -3) + x

Reorder the terms:
-9 + 4x = 3(-3 + x) + x
-9 + 4x = (-3 * 3 + x * 3) + x
-9 + 4x = (-9 + 3x) + x

Combine like terms: 3x + x = 4x
-9 + 4x = -9 + 4x

Add '9' to each side of the equation.
-9 + 9 + 4x = -9 + 9 + 4x

Combine like terms: -9 + 9 = 0
0 + 4x = -9 + 9 + 4x
4x = -9 + 9 + 4x

Combine like terms: -9 + 9 = 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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