Solve for \(x\): \(\frac{3x - 1}{4x-4} = \frac23.\)

Should I simplify it, or...?

(I'm a new user so I don't know if I'm doing this correctly)

ChocoSwirl May 2, 2022

#1**0 **

Welcome ChocoSwirl.

(3x-1)/(4x-4) = 2/3

The first thing I want to do is to get rid of the denominator, I can do this my multiplying 3(4x-4) on both sides. Note than x can't be 1 since 4(1) - 4 = 0, and zero can't be a denominator.

(3x-1)3 = 2(4x - 4)

Next, I'm going to expand.

9x - 3 = 8x - 8

Going to subtract 8x from both sides.

x - 3 = -8

And finally, I'm going to add 3 to both sides.

x = -5

I hope that made sense. :))

=^._>^=

catmg May 2, 2022