5[7-5(6-q)]-7=7[(7q-6)+4]-50

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Solution for 5[7-5(6-q)]-7=7[(7q-6)+4]-50 equation: 


Simplifying
5[7 + -5(6 + -1q)] + -7 = 7[(7q + -6) + 4] + -50
5[7 + (6 * -5 + -1q * -5)] + -7 = 7[(7q + -6) + 4] + -50
5[7 + (-30 + 5q)] + -7 = 7[(7q + -6) + 4] + -50

Combine like terms: 7 + -30 = -23
5[-23 + 5q] + -7 = 7[(7q + -6) + 4] + -50
[-23 * 5 + 5q * 5] + -7 = 7[(7q + -6) + 4] + -50
[-115 + 25q] + -7 = 7[(7q + -6) + 4] + -50

Reorder the terms:
-115 + -7 + 25q = 7[(7q + -6) + 4] + -50

Combine like terms: -115 + -7 = -122
-122 + 25q = 7[(7q + -6) + 4] + -50

Reorder the terms:
-122 + 25q = 7[(-6 + 7q) + 4] + -50

Remove parenthesis around (-6 + 7q)
-122 + 25q = 7[-6 + 7q + 4] + -50

Reorder the terms:
-122 + 25q = 7[-6 + 4 + 7q] + -50

Combine like terms: -6 + 4 = -2
-122 + 25q = 7[-2 + 7q] + -50
-122 + 25q = [-2 * 7 + 7q * 7] + -50
-122 + 25q = [-14 + 49q] + -50

Reorder the terms:
-122 + 25q = -14 + -50 + 49q

Combine like terms: -14 + -50 = -64
-122 + 25q = -64 + 49q

Solving
-122 + 25q = -64 + 49q

Solving for variable 'q'.

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

Add '-49q' to each side of the equation.
-122 + 25q + -49q = -64 + 49q + -49q

Combine like terms: 25q + -49q = -24q
-122 + -24q = -64 + 49q + -49q

Combine like terms: 49q + -49q = 0
-122 + -24q = -64 + 0
-122 + -24q = -64

Add '122' to each side of the equation.
-122 + 122 + -24q = -64 + 122

Combine like terms: -122 + 122 = 0
0 + -24q = -64 + 122
-24q = -64 + 122

Combine like terms: -64 + 122 = 58
-24q = 58

Divide each side by '-24'.
q = -2.416666667

Simplifying
q = -2.416666667

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