2(g-4)=3g-2(g-5)

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Solution for 2(g-4)=3g-2(g-5) equation:


Simplifying
2(g + -4) = 3g + -2(g + -5)

Reorder the terms:
2(-4 + g) = 3g + -2(g + -5)
(-4 * 2 + g * 2) = 3g + -2(g + -5)
(-8 + 2g) = 3g + -2(g + -5)

Reorder the terms:
-8 + 2g = 3g + -2(-5 + g)
-8 + 2g = 3g + (-5 * -2 + g * -2)
-8 + 2g = 3g + (10 + -2g)

Reorder the terms:
-8 + 2g = 10 + 3g + -2g

Combine like terms: 3g + -2g = 1g
-8 + 2g = 10 + 1g

Solving
-8 + 2g = 10 + 1g

Solving for variable 'g'.

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

Add '-1g' to each side of the equation.
-8 + 2g + -1g = 10 + 1g + -1g

Combine like terms: 2g + -1g = 1g
-8 + 1g = 10 + 1g + -1g

Combine like terms: 1g + -1g = 0
-8 + 1g = 10 + 0
-8 + 1g = 10

Add '8' to each side of the equation.
-8 + 8 + 1g = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 1g = 10 + 8
1g = 10 + 8

Combine like terms: 10 + 8 = 18
1g = 18

Divide each side by '1'.
g = 18

Simplifying
g = 18

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