7g-12+5(2-g)=6(g+3)

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Solution for 7g-12+5(2-g)=6(g+3) equation:


Simplifying
7g + -12 + 5(2 + -1g) = 6(g + 3)
7g + -12 + (2 * 5 + -1g * 5) = 6(g + 3)
7g + -12 + (10 + -5g) = 6(g + 3)

Reorder the terms:
-12 + 10 + 7g + -5g = 6(g + 3)

Combine like terms: -12 + 10 = -2
-2 + 7g + -5g = 6(g + 3)

Combine like terms: 7g + -5g = 2g
-2 + 2g = 6(g + 3)

Reorder the terms:
-2 + 2g = 6(3 + g)
-2 + 2g = (3 * 6 + g * 6)
-2 + 2g = (18 + 6g)

Solving
-2 + 2g = 18 + 6g

Solving for variable 'g'.

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

Add '-6g' to each side of the equation.
-2 + 2g + -6g = 18 + 6g + -6g

Combine like terms: 2g + -6g = -4g
-2 + -4g = 18 + 6g + -6g

Combine like terms: 6g + -6g = 0
-2 + -4g = 18 + 0
-2 + -4g = 18

Add '2' to each side of the equation.
-2 + 2 + -4g = 18 + 2

Combine like terms: -2 + 2 = 0
0 + -4g = 18 + 2
-4g = 18 + 2

Combine like terms: 18 + 2 = 20
-4g = 20

Divide each side by '-4'.
g = -5

Simplifying
g = -5

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