5[3-(2-3x)]+3x=3(6x+5)-10

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Solution for 5[3-(2-3x)]+3x=3(6x+5)-10 equation: 


Simplifying
5[3 + -1(2 + -3x)] + 3x = 3(6x + 5) + -10
5[3 + (2 * -1 + -3x * -1)] + 3x = 3(6x + 5) + -10
5[3 + (-2 + 3x)] + 3x = 3(6x + 5) + -10

Combine like terms: 3 + -2 = 1
5[1 + 3x] + 3x = 3(6x + 5) + -10
[1 * 5 + 3x * 5] + 3x = 3(6x + 5) + -10
[5 + 15x] + 3x = 3(6x + 5) + -10

Combine like terms: 15x + 3x = 18x
5 + 18x = 3(6x + 5) + -10

Reorder the terms:
5 + 18x = 3(5 + 6x) + -10
5 + 18x = (5 * 3 + 6x * 3) + -10
5 + 18x = (15 + 18x) + -10

Reorder the terms:
5 + 18x = 15 + -10 + 18x

Combine like terms: 15 + -10 = 5
5 + 18x = 5 + 18x

Add '-5' to each side of the equation.
5 + -5 + 18x = 5 + -5 + 18x

Combine like terms: 5 + -5 = 0
0 + 18x = 5 + -5 + 18x
18x = 5 + -5 + 18x

Combine like terms: 5 + -5 = 0
18x = 0 + 18x
18x = 18x

Add '-18x' to each side of the equation.
18x + -18x = 18x + -18x

Combine like terms: 18x + -18x = 0
0 = 18x + -18x

Combine like terms: 18x + -18x = 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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