SOLUTION: I'm really confused trying to solve this equation. I keep getting different answers. I think the bx is confusing me. 3bx + 9 = 4(3x-b)+2 solve for x

Question 1644: I'm really confused trying to solve this equation. I keep getting different answers. I think the bx is confusing me.
3bx + 9 = 4(3x-b)+2 solve for x
Found 2 solutions by usyim88hk, Scorinitron:
Answer by usyim88hk(158) (Show Source): You can put this solution on YOUR website!
3bx+9 = 4(3x-b)+2
First, multiply 4 with (3x-b)
3bx+9 = 12x-4b+2
Now munis 9 from both sides and minus 12x from both sides
3bx-12x = -4b-7
Factor 3bx-12x
3x(b-4) = -4b-7
Divide both sides by (b-4)
3x = (-4b-7)/(b-4)
Now divide both sides by 3
x = (-4b-7)/(3b-12)
Answer by Scorinitron(19) (Show Source): You can put this solution on YOUR website!
I'm going to be real. This was hard...and confusing but here's what I did.
The Problem
3bx+9=4(3x-b)+2
____________________
The Steps:
______________________
Multiply 4 by each term inside the parentheses.
3bx+9=12x-4b+2

Since 12x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 12x from both sides.
3bx+9-12x=-4b+2

Factor out the GCF of 3x from each term in the polynomial.
3x(b)+3x(-4)=-4b-7

Factor out the GCF of 3x from 3bx-12x.
3x(b-4)=-4b-7

Divide each term in the equation by (b-4).
(3x(b-4))/(b-4)=-(4b)/(b-4)-(7)/(b-4)
Simplify the left-hand side of the equation by canceling the common factors.

3x=-(4b)/(b-4)-(7)/(b-4)

Simplify the right-hand side of the equation by simplifying each term.
3x=(-4b-7)/(b-4)

Divide each term in the equation by 3.
(3x)/(3)=(-4b-7)/(b-4)/(3)

Simplify the left-hand side of the equation by canceling the common factors.
x=(-4b-7)/(b-4)/(3)

Simplify the right-hand side of the equation by simplifying each term.
x=(-4b-7)/(3(b-4))

RELATED QUESTIONS
Please help me work out this equation .I keep getting tow different answers. (9/3/2)/9*6 (answered by Alan3354,stanbon,MathTherapy)
Hello, Please help me solve this. Stuck on it for 2 days and keep getting different... (answered by Cromlix)
y=1/4x-2; (8,-1) y=-4x-5; (0,-1) I am trying to understand these and write them... (answered by josmiceli)
Find the solution to system of equations by substitution. Problem:... (answered by checkley71)
please help me solve 4/5x=5/4 i know i need to flip the 4/5x but i keep getting... (answered by stanbon)
1+5x<26 the solution set is {x/x< ?} please help me with this I keep getting different... (answered by solver91311)
I thought I was getting the hang of this but the more math I try to do I think I get more (answered by gonzo)
4x^2-4y^2=196 3x^2+y^2=147 Hello can anyone solve this for me? I get really... (answered by jim_thompson5910)
how do i solve 9(20-12t)=8(6+9t)-24 i keep getting different... (answered by edjones)