4(3q+5)+6=3(2q+30)

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Solution for 4(3q+5)+6=3(2q+30) equation: 


Simplifying
4(3q + 5) + 6 = 3(2q + 30)

Reorder the terms:
4(5 + 3q) + 6 = 3(2q + 30)
(5 * 4 + 3q * 4) + 6 = 3(2q + 30)
(20 + 12q) + 6 = 3(2q + 30)

Reorder the terms:
20 + 6 + 12q = 3(2q + 30)

Combine like terms: 20 + 6 = 26
26 + 12q = 3(2q + 30)

Reorder the terms:
26 + 12q = 3(30 + 2q)
26 + 12q = (30 * 3 + 2q * 3)
26 + 12q = (90 + 6q)

Solving
26 + 12q = 90 + 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
26 + 12q + -6q = 90 + 6q + -6q

Combine like terms: 12q + -6q = 6q
26 + 6q = 90 + 6q + -6q

Combine like terms: 6q + -6q = 0
26 + 6q = 90 + 0
26 + 6q = 90

Add '-26' to each side of the equation.
26 + -26 + 6q = 90 + -26

Combine like terms: 26 + -26 = 0
0 + 6q = 90 + -26
6q = 90 + -26

Combine like terms: 90 + -26 = 64
6q = 64

Divide each side by '6'.
q = 10.66666667

Simplifying
q = 10.66666667

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