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

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


Simplifying
2(5 + q) = 3(3 + 2q)
(5 * 2 + q * 2) = 3(3 + 2q)
(10 + 2q) = 3(3 + 2q)
10 + 2q = (3 * 3 + 2q * 3)
10 + 2q = (9 + 6q)

Solving
10 + 2q = 9 + 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
10 + 2q + -6q = 9 + 6q + -6q

Combine like terms: 2q + -6q = -4q
10 + -4q = 9 + 6q + -6q

Combine like terms: 6q + -6q = 0
10 + -4q = 9 + 0
10 + -4q = 9

Add '-10' to each side of the equation.
10 + -10 + -4q = 9 + -10

Combine like terms: 10 + -10 = 0
0 + -4q = 9 + -10
-4q = 9 + -10

Combine like terms: 9 + -10 = -1
-4q = -1

Divide each side by '-4'.
q = 0.25

Simplifying
q = 0.25

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