3[5-3(4-6)]-5=5[3(5b-4)+2]-26

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Solution for 3[5-3(4-6)]-5=5[3(5b-4)+2]-26 equation: 


Simplifying
3[5 + -3(4 + -6)] + -5 = 5[3(5b + -4) + 2] + -26

Combine like terms: 4 + -6 = -2
3[5 + -3(-2)] + -5 = 5[3(5b + -4) + 2] + -26

Multiply -3 * -2
3[5 + 6] + -5 = 5[3(5b + -4) + 2] + -26

Combine like terms: 5 + 6 = 11
3[11] + -5 = 5[3(5b + -4) + 2] + -26

Multiply 3 * 11
33 + -5 = 5[3(5b + -4) + 2] + -26

Combine like terms: 33 + -5 = 28
28 = 5[3(5b + -4) + 2] + -26

Reorder the terms:
28 = 5[3(-4 + 5b) + 2] + -26
28 = 5[(-4 * 3 + 5b * 3) + 2] + -26
28 = 5[(-12 + 15b) + 2] + -26

Reorder the terms:
28 = 5[-12 + 2 + 15b] + -26

Combine like terms: -12 + 2 = -10
28 = 5[-10 + 15b] + -26
28 = [-10 * 5 + 15b * 5] + -26
28 = [-50 + 75b] + -26

Reorder the terms:
28 = -50 + -26 + 75b

Combine like terms: -50 + -26 = -76
28 = -76 + 75b

Solving
28 = -76 + 75b

Solving for variable 'b'.

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

Add '-75b' to each side of the equation.
28 + -75b = -76 + 75b + -75b

Combine like terms: 75b + -75b = 0
28 + -75b = -76 + 0
28 + -75b = -76

Add '-28' to each side of the equation.
28 + -28 + -75b = -76 + -28

Combine like terms: 28 + -28 = 0
0 + -75b = -76 + -28
-75b = -76 + -28

Combine like terms: -76 + -28 = -104
-75b = -104

Divide each side by '-75'.
b = 1.386666667

Simplifying
b = 1.386666667

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