6(2g-5)=5(4g+7)

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Solution for 6(2g-5)=5(4g+7) equation:


Simplifying
6(2g + -5) = 5(4g + 7)

Reorder the terms:
6(-5 + 2g) = 5(4g + 7)
(-5 * 6 + 2g * 6) = 5(4g + 7)
(-30 + 12g) = 5(4g + 7)

Reorder the terms:
-30 + 12g = 5(7 + 4g)
-30 + 12g = (7 * 5 + 4g * 5)
-30 + 12g = (35 + 20g)

Solving
-30 + 12g = 35 + 20g

Solving for variable 'g'.

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

Add '-20g' to each side of the equation.
-30 + 12g + -20g = 35 + 20g + -20g

Combine like terms: 12g + -20g = -8g
-30 + -8g = 35 + 20g + -20g

Combine like terms: 20g + -20g = 0
-30 + -8g = 35 + 0
-30 + -8g = 35

Add '30' to each side of the equation.
-30 + 30 + -8g = 35 + 30

Combine like terms: -30 + 30 = 0
0 + -8g = 35 + 30
-8g = 35 + 30

Combine like terms: 35 + 30 = 65
-8g = 65

Divide each side by '-8'.
g = -8.125

Simplifying
g = -8.125

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