5+3(x-1)=3(x+1)-1

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Solution for 5+3(x-1)=3(x+1)-1 equation: 


Simplifying
5 + 3(x + -1) = 3(x + 1) + -1

Reorder the terms:
5 + 3(-1 + x) = 3(x + 1) + -1
5 + (-1 * 3 + x * 3) = 3(x + 1) + -1
5 + (-3 + 3x) = 3(x + 1) + -1

Combine like terms: 5 + -3 = 2
2 + 3x = 3(x + 1) + -1

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

Reorder the terms:
2 + 3x = 3 + -1 + 3x

Combine like terms: 3 + -1 = 2
2 + 3x = 2 + 3x

Add '-2' to each side of the equation.
2 + -2 + 3x = 2 + -2 + 3x

Combine like terms: 2 + -2 = 0
0 + 3x = 2 + -2 + 3x
3x = 2 + -2 + 3x

Combine like terms: 2 + -2 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 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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