2(q+1)-4(3q-2)=30

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Solution for 2(q+1)-4(3q-2)=30 equation: 


Simplifying
2(q + 1) + -4(3q + -2) = 30

Reorder the terms:
2(1 + q) + -4(3q + -2) = 30
(1 * 2 + q * 2) + -4(3q + -2) = 30
(2 + 2q) + -4(3q + -2) = 30

Reorder the terms:
2 + 2q + -4(-2 + 3q) = 30
2 + 2q + (-2 * -4 + 3q * -4) = 30
2 + 2q + (8 + -12q) = 30

Reorder the terms:
2 + 8 + 2q + -12q = 30

Combine like terms: 2 + 8 = 10
10 + 2q + -12q = 30

Combine like terms: 2q + -12q = -10q
10 + -10q = 30

Solving
10 + -10q = 30

Solving for variable 'q'.

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

Add '-10' to each side of the equation.
10 + -10 + -10q = 30 + -10

Combine like terms: 10 + -10 = 0
0 + -10q = 30 + -10
-10q = 30 + -10

Combine like terms: 30 + -10 = 20
-10q = 20

Divide each side by '-10'.
q = -2

Simplifying
q = -2

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