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

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


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

Remove parenthesis around (6b)
5[7 + -5 * 6b] + -7 = 7[5(7b + -6) + 4] + -50

Multiply -5 * 6
5[7 + -30b] + -7 = 7[5(7b + -6) + 4] + -50
[7 * 5 + -30b * 5] + -7 = 7[5(7b + -6) + 4] + -50
[35 + -150b] + -7 = 7[5(7b + -6) + 4] + -50

Reorder the terms:
35 + -7 + -150b = 7[5(7b + -6) + 4] + -50

Combine like terms: 35 + -7 = 28
28 + -150b = 7[5(7b + -6) + 4] + -50

Reorder the terms:
28 + -150b = 7[5(-6 + 7b) + 4] + -50
28 + -150b = 7[(-6 * 5 + 7b * 5) + 4] + -50
28 + -150b = 7[(-30 + 35b) + 4] + -50

Reorder the terms:
28 + -150b = 7[-30 + 4 + 35b] + -50

Combine like terms: -30 + 4 = -26
28 + -150b = 7[-26 + 35b] + -50
28 + -150b = [-26 * 7 + 35b * 7] + -50
28 + -150b = [-182 + 245b] + -50

Reorder the terms:
28 + -150b = -182 + -50 + 245b

Combine like terms: -182 + -50 = -232
28 + -150b = -232 + 245b

Solving
28 + -150b = -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.
28 + -150b + -245b = -232 + 245b + -245b

Combine like terms: -150b + -245b = -395b
28 + -395b = -232 + 245b + -245b

Combine like terms: 245b + -245b = 0
28 + -395b = -232 + 0
28 + -395b = -232

Add '-28' to each side of the equation.
28 + -28 + -395b = -232 + -28

Combine like terms: 28 + -28 = 0
0 + -395b = -232 + -28
-395b = -232 + -28

Combine like terms: -232 + -28 = -260
-395b = -260

Divide each side by '-395'.
b = 0.6582278481

Simplifying
b = 0.6582278481

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