2[q+3(5-2q)]=-10

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


Simplifying
2[q + 3(5 + -2q)] = -10
2[q + (5 * 3 + -2q * 3)] = -10
2[q + (15 + -6q)] = -10

Reorder the terms:
2[15 + q + -6q] = -10

Combine like terms: q + -6q = -5q
2[15 + -5q] = -10
[15 * 2 + -5q * 2] = -10
[30 + -10q] = -10

Solving
30 + -10q = -10

Solving for variable 'q'.

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

Add '-30' to each side of the equation.
30 + -30 + -10q = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -10q = -10 + -30
-10q = -10 + -30

Combine like terms: -10 + -30 = -40
-10q = -40

Divide each side by '-10'.
q = 4

Simplifying
q = 4

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