11(g-3)=5(g+3)

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Solution for 11(g-3)=5(g+3) equation:


Simplifying
11(g + -3) = 5(g + 3)

Reorder the terms:
11(-3 + g) = 5(g + 3)
(-3 * 11 + g * 11) = 5(g + 3)
(-33 + 11g) = 5(g + 3)

Reorder the terms:
-33 + 11g = 5(3 + g)
-33 + 11g = (3 * 5 + g * 5)
-33 + 11g = (15 + 5g)

Solving
-33 + 11g = 15 + 5g

Solving for variable 'g'.

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

Add '-5g' to each side of the equation.
-33 + 11g + -5g = 15 + 5g + -5g

Combine like terms: 11g + -5g = 6g
-33 + 6g = 15 + 5g + -5g

Combine like terms: 5g + -5g = 0
-33 + 6g = 15 + 0
-33 + 6g = 15

Add '33' to each side of the equation.
-33 + 33 + 6g = 15 + 33

Combine like terms: -33 + 33 = 0
0 + 6g = 15 + 33
6g = 15 + 33

Combine like terms: 15 + 33 = 48
6g = 48

Divide each side by '6'.
g = 8

Simplifying
g = 8

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