5[3-(2-x)]+x=2(3x+4)-3

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Solution for 5[3-(2-x)]+x=2(3x+4)-3 equation: 


Simplifying
5[3 + -1(2 + -1x)] + x = 2(3x + 4) + -3
5[3 + (2 * -1 + -1x * -1)] + x = 2(3x + 4) + -3
5[3 + (-2 + 1x)] + x = 2(3x + 4) + -3

Combine like terms: 3 + -2 = 1
5[1 + 1x] + x = 2(3x + 4) + -3
[1 * 5 + 1x * 5] + x = 2(3x + 4) + -3
[5 + 5x] + x = 2(3x + 4) + -3

Combine like terms: 5x + x = 6x
5 + 6x = 2(3x + 4) + -3

Reorder the terms:
5 + 6x = 2(4 + 3x) + -3
5 + 6x = (4 * 2 + 3x * 2) + -3
5 + 6x = (8 + 6x) + -3

Reorder the terms:
5 + 6x = 8 + -3 + 6x

Combine like terms: 8 + -3 = 5
5 + 6x = 5 + 6x

Add '-5' to each side of the equation.
5 + -5 + 6x = 5 + -5 + 6x

Combine like terms: 5 + -5 = 0
0 + 6x = 5 + -5 + 6x
6x = 5 + -5 + 6x

Combine like terms: 5 + -5 = 0
6x = 0 + 6x
6x = 6x

Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
0 = 6x + -6x

Combine like terms: 6x + -6x = 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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