5[x+2]-3x=2[x+5]

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


Simplifying
5[x + 2] + -3x = 2[x + 5]

Reorder the terms:
5[2 + x] + -3x = 2[x + 5]
[2 * 5 + x * 5] + -3x = 2[x + 5]
[10 + 5x] + -3x = 2[x + 5]

Combine like terms: 5x + -3x = 2x
10 + 2x = 2[x + 5]

Reorder the terms:
10 + 2x = 2[5 + x]
10 + 2x = [5 * 2 + x * 2]
10 + 2x = [10 + 2x]

Add '-10' to each side of the equation.
10 + -10 + 2x = 10 + -10 + 2x

Combine like terms: 10 + -10 = 0
0 + 2x = 10 + -10 + 2x
2x = 10 + -10 + 2x

Combine like terms: 10 + -10 = 0
2x = 0 + 2x
2x = 2x

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

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

Combine like terms: 2x + -2x = 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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