5(10-3b)=105-8b+4

Solution for 5(10-3b)=105-8b+4 equation:

Simplifying
5(10 + -3b) = 105 + -8b + 4
(10 * 5 + -3b * 5) = 105 + -8b + 4
(50 + -15b) = 105 + -8b + 4

Reorder the terms:
50 + -15b = 105 + 4 + -8b

Combine like terms: 105 + 4 = 109
50 + -15b = 109 + -8b

Solving
50 + -15b = 109 + -8b

Solving for variable 'b'.

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

Add '8b' to each side of the equation.
50 + -15b + 8b = 109 + -8b + 8b

Combine like terms: -15b + 8b = -7b
50 + -7b = 109 + -8b + 8b

Combine like terms: -8b + 8b = 0
50 + -7b = 109 + 0
50 + -7b = 109

Add '-50' to each side of the equation.
50 + -50 + -7b = 109 + -50

Combine like terms: 50 + -50 = 0
0 + -7b = 109 + -50
-7b = 109 + -50

Combine like terms: 109 + -50 = 59
-7b = 59

Divide each side by '-7'.
b = -8.428571429

Simplifying
b = -8.428571429