0.5[(10-g)+(-5+3g)]=.5[(10-g)+(-5+3g)]

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Solution for 0.5[(10-g)+(-5+3g)]=.5[(10-g)+(-5+3g)] equation: 


Simplifying
0.5[(10 + -1g) + (-5 + 3g)] = 0.5[(10 + -1g) + (-5 + 3g)]

Remove parenthesis around (10 + -1g)
0.5[10 + -1g + (-5 + 3g)] = 0.5[(10 + -1g) + (-5 + 3g)]

Remove parenthesis around (-5 + 3g)
0.5[10 + -1g + -5 + 3g] = 0.5[(10 + -1g) + (-5 + 3g)]

Reorder the terms:
0.5[10 + -5 + -1g + 3g] = 0.5[(10 + -1g) + (-5 + 3g)]

Combine like terms: 10 + -5 = 5
0.5[5 + -1g + 3g] = 0.5[(10 + -1g) + (-5 + 3g)]

Combine like terms: -1g + 3g = 2g
0.5[5 + 2g] = 0.5[(10 + -1g) + (-5 + 3g)]
[5 * 0.5 + 2g * 0.5] = 0.5[(10 + -1g) + (-5 + 3g)]
[2.5 + 1g] = 0.5[(10 + -1g) + (-5 + 3g)]

Remove parenthesis around (10 + -1g)
2.5 + 1g = 0.5[10 + -1g + (-5 + 3g)]

Remove parenthesis around (-5 + 3g)
2.5 + 1g = 0.5[10 + -1g + -5 + 3g]

Reorder the terms:
2.5 + 1g = 0.5[10 + -5 + -1g + 3g]

Combine like terms: 10 + -5 = 5
2.5 + 1g = 0.5[5 + -1g + 3g]

Combine like terms: -1g + 3g = 2g
2.5 + 1g = 0.5[5 + 2g]
2.5 + 1g = [5 * 0.5 + 2g * 0.5]
2.5 + 1g = [2.5 + 1g]

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 1g = 2.5 + -2.5 + 1g

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 1g = 2.5 + -2.5 + 1g
1g = 2.5 + -2.5 + 1g

Combine like terms: 2.5 + -2.5 = 0.0
1g = 0.0 + 1g
1g = 1g

Add '-1g' to each side of the equation.
1g + -1g = 1g + -1g

Combine like terms: 1g + -1g = 0
0 = 1g + -1g

Combine like terms: 1g + -1g = 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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