10(g-5)=2(g+9)

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Solution for 10(g-5)=2(g+9) equation:


Simplifying
10(g + -5) = 2(g + 9)

Reorder the terms:
10(-5 + g) = 2(g + 9)
(-5 * 10 + g * 10) = 2(g + 9)
(-50 + 10g) = 2(g + 9)

Reorder the terms:
-50 + 10g = 2(9 + g)
-50 + 10g = (9 * 2 + g * 2)
-50 + 10g = (18 + 2g)

Solving
-50 + 10g = 18 + 2g

Solving for variable 'g'.

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

Add '-2g' to each side of the equation.
-50 + 10g + -2g = 18 + 2g + -2g

Combine like terms: 10g + -2g = 8g
-50 + 8g = 18 + 2g + -2g

Combine like terms: 2g + -2g = 0
-50 + 8g = 18 + 0
-50 + 8g = 18

Add '50' to each side of the equation.
-50 + 50 + 8g = 18 + 50

Combine like terms: -50 + 50 = 0
0 + 8g = 18 + 50
8g = 18 + 50

Combine like terms: 18 + 50 = 68
8g = 68

Divide each side by '8'.
g = 8.5

Simplifying
g = 8.5

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