3(5q-4)=2(4q+7)

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Solution for 3(5q-4)=2(4q+7) equation:


Simplifying
3(5q + -4) = 2(4q + 7)

Reorder the terms:
3(-4 + 5q) = 2(4q + 7)
(-4 * 3 + 5q * 3) = 2(4q + 7)
(-12 + 15q) = 2(4q + 7)

Reorder the terms:
-12 + 15q = 2(7 + 4q)
-12 + 15q = (7 * 2 + 4q * 2)
-12 + 15q = (14 + 8q)

Solving
-12 + 15q = 14 + 8q

Solving for variable 'q'.

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

Add '-8q' to each side of the equation.
-12 + 15q + -8q = 14 + 8q + -8q

Combine like terms: 15q + -8q = 7q
-12 + 7q = 14 + 8q + -8q

Combine like terms: 8q + -8q = 0
-12 + 7q = 14 + 0
-12 + 7q = 14

Add '12' to each side of the equation.
-12 + 12 + 7q = 14 + 12

Combine like terms: -12 + 12 = 0
0 + 7q = 14 + 12
7q = 14 + 12

Combine like terms: 14 + 12 = 26
7q = 26

Divide each side by '7'.
q = 3.714285714

Simplifying
q = 3.714285714

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