-2[3(2q+1)-5]+7=3(5-4q)+2

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Solution for -2[3(2q+1)-5]+7=3(5-4q)+2 equation: 


Simplifying
-2[3(2q + 1) + -5] + 7 = 3(5 + -4q) + 2

Reorder the terms:
-2[3(1 + 2q) + -5] + 7 = 3(5 + -4q) + 2
-2[(1 * 3 + 2q * 3) + -5] + 7 = 3(5 + -4q) + 2
-2[(3 + 6q) + -5] + 7 = 3(5 + -4q) + 2

Reorder the terms:
-2[3 + -5 + 6q] + 7 = 3(5 + -4q) + 2

Combine like terms: 3 + -5 = -2
-2[-2 + 6q] + 7 = 3(5 + -4q) + 2
[-2 * -2 + 6q * -2] + 7 = 3(5 + -4q) + 2
[4 + -12q] + 7 = 3(5 + -4q) + 2

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

Combine like terms: 4 + 7 = 11
11 + -12q = 3(5 + -4q) + 2
11 + -12q = (5 * 3 + -4q * 3) + 2
11 + -12q = (15 + -12q) + 2

Reorder the terms:
11 + -12q = 15 + 2 + -12q

Combine like terms: 15 + 2 = 17
11 + -12q = 17 + -12q

Add '12q' to each side of the equation.
11 + -12q + 12q = 17 + -12q + 12q

Combine like terms: -12q + 12q = 0
11 + 0 = 17 + -12q + 12q
11 = 17 + -12q + 12q

Combine like terms: -12q + 12q = 0
11 = 17 + 0
11 = 17

Solving
11 = 17

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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