0.2(g+50)-6=0.4(3g+20)

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Solution for 0.2(g+50)-6=0.4(3g+20) equation:


Simplifying
0.2(g + 50) + -6 = 0.4(3g + 20)

Reorder the terms:
0.2(50 + g) + -6 = 0.4(3g + 20)
(50 * 0.2 + g * 0.2) + -6 = 0.4(3g + 20)
(10 + 0.2g) + -6 = 0.4(3g + 20)

Reorder the terms:
10 + -6 + 0.2g = 0.4(3g + 20)

Combine like terms: 10 + -6 = 4
4 + 0.2g = 0.4(3g + 20)

Reorder the terms:
4 + 0.2g = 0.4(20 + 3g)
4 + 0.2g = (20 * 0.4 + 3g * 0.4)
4 + 0.2g = (8 + 1.2g)

Solving
4 + 0.2g = 8 + 1.2g

Solving for variable 'g'.

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

Add '-1.2g' to each side of the equation.
4 + 0.2g + -1.2g = 8 + 1.2g + -1.2g

Combine like terms: 0.2g + -1.2g = -1g
4 + -1g = 8 + 1.2g + -1.2g

Combine like terms: 1.2g + -1.2g = 0.0
4 + -1g = 8 + 0.0
4 + -1g = 8

Add '-4' to each side of the equation.
4 + -4 + -1g = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -1g = 8 + -4
-1g = 8 + -4

Combine like terms: 8 + -4 = 4
-1g = 4

Divide each side by '-1'.
g = -4

Simplifying
g = -4

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