10(b+11)=-7b+3(10+11b)

Solution for 10(b+11)=-7b+3(10+11b) equation:

Simplifying
10(b + 11) = -7b + 3(10 + 11b)

Reorder the terms:
10(11 + b) = -7b + 3(10 + 11b)
(11 * 10 + b * 10) = -7b + 3(10 + 11b)
(110 + 10b) = -7b + 3(10 + 11b)
110 + 10b = -7b + (10 * 3 + 11b * 3)
110 + 10b = -7b + (30 + 33b)

Reorder the terms:
110 + 10b = 30 + -7b + 33b

Combine like terms: -7b + 33b = 26b
110 + 10b = 30 + 26b

Solving
110 + 10b = 30 + 26b

Solving for variable 'b'.

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

Add '-26b' to each side of the equation.
110 + 10b + -26b = 30 + 26b + -26b

Combine like terms: 10b + -26b = -16b
110 + -16b = 30 + 26b + -26b

Combine like terms: 26b + -26b = 0
110 + -16b = 30 + 0
110 + -16b = 30

Add '-110' to each side of the equation.
110 + -110 + -16b = 30 + -110

Combine like terms: 110 + -110 = 0
0 + -16b = 30 + -110
-16b = 30 + -110

Combine like terms: 30 + -110 = -80
-16b = -80

Divide each side by '-16'.
b = 5

Simplifying
b = 5