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

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


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

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

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

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

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

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

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

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

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

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

Solving for variable 'b'.

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

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

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

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

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

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

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

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

Simplifying
b = 0.5

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