5(3g+2)-15=15(3g+5)+3g

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Solution for 5(3g+2)-15=15(3g+5)+3g equation:


Simplifying
5(3g + 2) + -15 = 15(3g + 5) + 3g

Reorder the terms:
5(2 + 3g) + -15 = 15(3g + 5) + 3g
(2 * 5 + 3g * 5) + -15 = 15(3g + 5) + 3g
(10 + 15g) + -15 = 15(3g + 5) + 3g

Reorder the terms:
10 + -15 + 15g = 15(3g + 5) + 3g

Combine like terms: 10 + -15 = -5
-5 + 15g = 15(3g + 5) + 3g

Reorder the terms:
-5 + 15g = 15(5 + 3g) + 3g
-5 + 15g = (5 * 15 + 3g * 15) + 3g
-5 + 15g = (75 + 45g) + 3g

Combine like terms: 45g + 3g = 48g
-5 + 15g = 75 + 48g

Solving
-5 + 15g = 75 + 48g

Solving for variable 'g'.

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

Add '-48g' to each side of the equation.
-5 + 15g + -48g = 75 + 48g + -48g

Combine like terms: 15g + -48g = -33g
-5 + -33g = 75 + 48g + -48g

Combine like terms: 48g + -48g = 0
-5 + -33g = 75 + 0
-5 + -33g = 75

Add '5' to each side of the equation.
-5 + 5 + -33g = 75 + 5

Combine like terms: -5 + 5 = 0
0 + -33g = 75 + 5
-33g = 75 + 5

Combine like terms: 75 + 5 = 80
-33g = 80

Divide each side by '-33'.
g = -2.424242424

Simplifying
g = -2.424242424

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