4(b+8)=3(b-6)

Solution for 4(b+8)=3(b-6) equation:

Simplifying
4(b + 8) = 3(b + -6)

Reorder the terms:
4(8 + b) = 3(b + -6)
(8 * 4 + b * 4) = 3(b + -6)
(32 + 4b) = 3(b + -6)

Reorder the terms:
32 + 4b = 3(-6 + b)
32 + 4b = (-6 * 3 + b * 3)
32 + 4b = (-18 + 3b)

Solving
32 + 4b = -18 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
32 + 4b + -3b = -18 + 3b + -3b

Combine like terms: 4b + -3b = 1b
32 + 1b = -18 + 3b + -3b

Combine like terms: 3b + -3b = 0
32 + 1b = -18 + 0
32 + 1b = -18

Add '-32' to each side of the equation.
32 + -32 + 1b = -18 + -32

Combine like terms: 32 + -32 = 0
0 + 1b = -18 + -32
1b = -18 + -32

Combine like terms: -18 + -32 = -50
1b = -50

Divide each side by '1'.
b = -50

Simplifying
b = -50