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

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


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

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

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

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

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

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

Combine like terms: 7 + 30 = 37
-122 + 25b = 7[37 + 4 + -35b] + -50

Combine like terms: 37 + 4 = 41
-122 + 25b = 7[41 + -35b] + -50
-122 + 25b = [41 * 7 + -35b * 7] + -50
-122 + 25b = [287 + -245b] + -50

Reorder the terms:
-122 + 25b = 287 + -50 + -245b

Combine like terms: 287 + -50 = 237
-122 + 25b = 237 + -245b

Solving
-122 + 25b = 237 + -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 = 237 + -245b + 245b

Combine like terms: 25b + 245b = 270b
-122 + 270b = 237 + -245b + 245b

Combine like terms: -245b + 245b = 0
-122 + 270b = 237 + 0
-122 + 270b = 237

Add '122' to each side of the equation.
-122 + 122 + 270b = 237 + 122

Combine like terms: -122 + 122 = 0
0 + 270b = 237 + 122
270b = 237 + 122

Combine like terms: 237 + 122 = 359
270b = 359

Divide each side by '270'.
b = 1.32962963

Simplifying
b = 1.32962963

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