5[3g-2(6g-4)]+50g=10

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Solution for 5[3g-2(6g-4)]+50g=10 equation: 


Simplifying
5[3g + -2(6g + -4)] + 50g = 10

Reorder the terms:
5[3g + -2(-4 + 6g)] + 50g = 10
5[3g + (-4 * -2 + 6g * -2)] + 50g = 10
5[3g + (8 + -12g)] + 50g = 10

Reorder the terms:
5[8 + 3g + -12g] + 50g = 10

Combine like terms: 3g + -12g = -9g
5[8 + -9g] + 50g = 10
[8 * 5 + -9g * 5] + 50g = 10
[40 + -45g] + 50g = 10

Combine like terms: -45g + 50g = 5g
40 + 5g = 10

Solving
40 + 5g = 10

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-40' to each side of the equation.
40 + -40 + 5g = 10 + -40

Combine like terms: 40 + -40 = 0
0 + 5g = 10 + -40
5g = 10 + -40

Combine like terms: 10 + -40 = -30
5g = -30

Divide each side by '5'.
g = -6

Simplifying
g = -6

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