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

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


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

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

Reorder the terms:
-115 + -7 + 25q = 7[5(7q + -6) + 4] + -50

Combine like terms: -115 + -7 = -122
-122 + 25q = 7[5(7q + -6) + 4] + -50

Reorder the terms:
-122 + 25q = 7[5(-6 + 7q) + 4] + -50
-122 + 25q = 7[(-6 * 5 + 7q * 5) + 4] + -50
-122 + 25q = 7[(-30 + 35q) + 4] + -50

Reorder the terms:
-122 + 25q = 7[-30 + 4 + 35q] + -50

Combine like terms: -30 + 4 = -26
-122 + 25q = 7[-26 + 35q] + -50
-122 + 25q = [-26 * 7 + 35q * 7] + -50
-122 + 25q = [-182 + 245q] + -50

Reorder the terms:
-122 + 25q = -182 + -50 + 245q

Combine like terms: -182 + -50 = -232
-122 + 25q = -232 + 245q

Solving
-122 + 25q = -232 + 245q

Solving for variable 'q'.

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

Add '-245q' to each side of the equation.
-122 + 25q + -245q = -232 + 245q + -245q

Combine like terms: 25q + -245q = -220q
-122 + -220q = -232 + 245q + -245q

Combine like terms: 245q + -245q = 0
-122 + -220q = -232 + 0
-122 + -220q = -232

Add '122' to each side of the equation.
-122 + 122 + -220q = -232 + 122

Combine like terms: -122 + 122 = 0
0 + -220q = -232 + 122
-220q = -232 + 122

Combine like terms: -232 + 122 = -110
-220q = -110

Divide each side by '-220'.
q = 0.5

Simplifying
q = 0.5

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