4(2q+3)=3q+2

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


Simplifying
4(2q + 3) = 3q + 2

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

Reorder the terms:
12 + 8q = 2 + 3q

Solving
12 + 8q = 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.
12 + 8q + -3q = 2 + 3q + -3q

Combine like terms: 8q + -3q = 5q
12 + 5q = 2 + 3q + -3q

Combine like terms: 3q + -3q = 0
12 + 5q = 2 + 0
12 + 5q = 2

Add '-12' to each side of the equation.
12 + -12 + 5q = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 5q = 2 + -12
5q = 2 + -12

Combine like terms: 2 + -12 = -10
5q = -10

Divide each side by '5'.
q = -2

Simplifying
q = -2

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