3(2g+9)+8=2(2g-9)-11

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Solution for 3(2g+9)+8=2(2g-9)-11 equation:


Simplifying
3(2g + 9) + 8 = 2(2g + -9) + -11

Reorder the terms:
3(9 + 2g) + 8 = 2(2g + -9) + -11
(9 * 3 + 2g * 3) + 8 = 2(2g + -9) + -11
(27 + 6g) + 8 = 2(2g + -9) + -11

Reorder the terms:
27 + 8 + 6g = 2(2g + -9) + -11

Combine like terms: 27 + 8 = 35
35 + 6g = 2(2g + -9) + -11

Reorder the terms:
35 + 6g = 2(-9 + 2g) + -11
35 + 6g = (-9 * 2 + 2g * 2) + -11
35 + 6g = (-18 + 4g) + -11

Reorder the terms:
35 + 6g = -18 + -11 + 4g

Combine like terms: -18 + -11 = -29
35 + 6g = -29 + 4g

Solving
35 + 6g = -29 + 4g

Solving for variable 'g'.

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

Add '-4g' to each side of the equation.
35 + 6g + -4g = -29 + 4g + -4g

Combine like terms: 6g + -4g = 2g
35 + 2g = -29 + 4g + -4g

Combine like terms: 4g + -4g = 0
35 + 2g = -29 + 0
35 + 2g = -29

Add '-35' to each side of the equation.
35 + -35 + 2g = -29 + -35

Combine like terms: 35 + -35 = 0
0 + 2g = -29 + -35
2g = -29 + -35

Combine like terms: -29 + -35 = -64
2g = -64

Divide each side by '2'.
g = -32

Simplifying
g = -32

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