2(-3q+5)=4(q+4)

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


Simplifying
2(-3q + 5) = 4(q + 4)

Reorder the terms:
2(5 + -3q) = 4(q + 4)
(5 * 2 + -3q * 2) = 4(q + 4)
(10 + -6q) = 4(q + 4)

Reorder the terms:
10 + -6q = 4(4 + q)
10 + -6q = (4 * 4 + q * 4)
10 + -6q = (16 + 4q)

Solving
10 + -6q = 16 + 4q

Solving for variable 'q'.

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

Add '-4q' to each side of the equation.
10 + -6q + -4q = 16 + 4q + -4q

Combine like terms: -6q + -4q = -10q
10 + -10q = 16 + 4q + -4q

Combine like terms: 4q + -4q = 0
10 + -10q = 16 + 0
10 + -10q = 16

Add '-10' to each side of the equation.
10 + -10 + -10q = 16 + -10

Combine like terms: 10 + -10 = 0
0 + -10q = 16 + -10
-10q = 16 + -10

Combine like terms: 16 + -10 = 6
-10q = 6

Divide each side by '-10'.
q = -0.6

Simplifying
q = -0.6

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