3(b-2)=8(b-7)

Solution for 3(b-2)=8(b-7) equation:

Simplifying
3(b + -2) = 8(b + -7)

Reorder the terms:
3(-2 + b) = 8(b + -7)
(-2 * 3 + b * 3) = 8(b + -7)
(-6 + 3b) = 8(b + -7)

Reorder the terms:
-6 + 3b = 8(-7 + b)
-6 + 3b = (-7 * 8 + b * 8)
-6 + 3b = (-56 + 8b)

Solving
-6 + 3b = -56 + 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.
-6 + 3b + -8b = -56 + 8b + -8b

Combine like terms: 3b + -8b = -5b
-6 + -5b = -56 + 8b + -8b

Combine like terms: 8b + -8b = 0
-6 + -5b = -56 + 0
-6 + -5b = -56

Add '6' to each side of the equation.
-6 + 6 + -5b = -56 + 6

Combine like terms: -6 + 6 = 0
0 + -5b = -56 + 6
-5b = -56 + 6

Combine like terms: -56 + 6 = -50
-5b = -50

Divide each side by '-5'.
b = 10

Simplifying
b = 10