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

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


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

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

Reorder the terms:
2 + 4q = -2 + 3q

Solving
2 + 4q = -2 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
2 + 4q + -3q = -2 + 3q + -3q

Combine like terms: 4q + -3q = 1q
2 + 1q = -2 + 3q + -3q

Combine like terms: 3q + -3q = 0
2 + 1q = -2 + 0
2 + 1q = -2

Add '-2' to each side of the equation.
2 + -2 + 1q = -2 + -2

Combine like terms: 2 + -2 = 0
0 + 1q = -2 + -2
1q = -2 + -2

Combine like terms: -2 + -2 = -4
1q = -4

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

Simplifying
q = -4

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