3(10)+5b-10-12b=55

Solution for 3(10)+5b-10-12b=55 equation:

Simplifying
3(10) + 5b + -10 + -12b = 55

Multiply 3 * 10
30 + 5b + -10 + -12b = 55

Reorder the terms:
30 + -10 + 5b + -12b = 55

Combine like terms: 30 + -10 = 20
20 + 5b + -12b = 55

Combine like terms: 5b + -12b = -7b
20 + -7b = 55

Solving
20 + -7b = 55

Solving for variable 'b'.

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

Add '-20' to each side of the equation.
20 + -20 + -7b = 55 + -20

Combine like terms: 20 + -20 = 0
0 + -7b = 55 + -20
-7b = 55 + -20

Combine like terms: 55 + -20 = 35
-7b = 35

Divide each side by '-7'.
b = -5

Simplifying
b = -5