5(g-7)+g-3(g-5)=0

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Solution for 5(g-7)+g-3(g-5)=0 equation: 


Simplifying
5(g + -7) + g + -3(g + -5) = 0

Reorder the terms:
5(-7 + g) + g + -3(g + -5) = 0
(-7 * 5 + g * 5) + g + -3(g + -5) = 0
(-35 + 5g) + g + -3(g + -5) = 0

Reorder the terms:
-35 + 5g + g + -3(-5 + g) = 0
-35 + 5g + g + (-5 * -3 + g * -3) = 0
-35 + 5g + g + (15 + -3g) = 0

Reorder the terms:
-35 + 15 + 5g + g + -3g = 0

Combine like terms: -35 + 15 = -20
-20 + 5g + g + -3g = 0

Combine like terms: 5g + g = 6g
-20 + 6g + -3g = 0

Combine like terms: 6g + -3g = 3g
-20 + 3g = 0

Solving
-20 + 3g = 0

Solving for variable 'g'.

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

Add '20' to each side of the equation.
-20 + 20 + 3g = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 3g = 0 + 20
3g = 0 + 20

Combine like terms: 0 + 20 = 20
3g = 20

Divide each side by '3'.
g = 6.666666667

Simplifying
g = 6.666666667

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