4(x+1)+x=5(x-1)+9

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Solution for 4(x+1)+x=5(x-1)+9 equation:


Simplifying
4(x + 1) + x = 5(x + -1) + 9

Reorder the terms:
4(1 + x) + x = 5(x + -1) + 9
(1 * 4 + x * 4) + x = 5(x + -1) + 9
(4 + 4x) + x = 5(x + -1) + 9

Combine like terms: 4x + x = 5x
4 + 5x = 5(x + -1) + 9

Reorder the terms:
4 + 5x = 5(-1 + x) + 9
4 + 5x = (-1 * 5 + x * 5) + 9
4 + 5x = (-5 + 5x) + 9

Reorder the terms:
4 + 5x = -5 + 9 + 5x

Combine like terms: -5 + 9 = 4
4 + 5x = 4 + 5x

Add '-4' to each side of the equation.
4 + -4 + 5x = 4 + -4 + 5x

Combine like terms: 4 + -4 = 0
0 + 5x = 4 + -4 + 5x
5x = 4 + -4 + 5x

Combine like terms: 4 + -4 = 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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