2(2q+1)+5q=3(q-2)+10

Solution for 2(2q+1)+5q=3(q-2)+10 equation:

Simplifying
2(2q + 1) + 5q = 3(q + -2) + 10

Reorder the terms:
2(1 + 2q) + 5q = 3(q + -2) + 10
(1 * 2 + 2q * 2) + 5q = 3(q + -2) + 10
(2 + 4q) + 5q = 3(q + -2) + 10

Combine like terms: 4q + 5q = 9q
2 + 9q = 3(q + -2) + 10

Reorder the terms:
2 + 9q = 3(-2 + q) + 10
2 + 9q = (-2 * 3 + q * 3) + 10
2 + 9q = (-6 + 3q) + 10

Reorder the terms:
2 + 9q = -6 + 10 + 3q

Combine like terms: -6 + 10 = 4
2 + 9q = 4 + 3q

Solving
2 + 9q = 4 + 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 + 9q + -3q = 4 + 3q + -3q

Combine like terms: 9q + -3q = 6q
2 + 6q = 4 + 3q + -3q

Combine like terms: 3q + -3q = 0
2 + 6q = 4 + 0
2 + 6q = 4

Add '-2' to each side of the equation.
2 + -2 + 6q = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 6q = 4 + -2
6q = 4 + -2

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

Divide each side by '6'.
q = 0.3333333333

Simplifying
q = 0.3333333333