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

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

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

Reorder the terms:
3(-6 + b) = 4(b + 8)
(-6 * 3 + b * 3) = 4(b + 8)
(-18 + 3b) = 4(b + 8)

Reorder the terms:
-18 + 3b = 4(8 + b)
-18 + 3b = (8 * 4 + b * 4)
-18 + 3b = (32 + 4b)

Solving
-18 + 3b = 32 + 4b

Solving for variable 'b'.

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

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

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

Combine like terms: 4b + -4b = 0
-18 + -1b = 32 + 0
-18 + -1b = 32

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

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

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

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

Simplifying
b = -50