0

# 2x-4/7=x-1/9

2x-4 divided by 7 = x-1 divided by 9

What does x eual

### 2 Answers by Expert Tutors

Jack M. | Keys to Chemistry, Calculus, Literature and MoreKeys to Chemistry, Calculus, Literature...
4.7 4.7 (309 lesson ratings) (309)
0

The best method for solving this is to cross-multiply (which is the same as multiplying both sides by 63 and then dividing).

You will then have:

9(2x - 4)  = 7(x - 1)

or      18x - 36  =  7x - 7

Now subtract 7x from both sides:

18x - 36 = 7x - 7
-7x           -7x
--------------------------------------
11x - 36 =  -7

11x - 36  =  -7
+ 36    +36
_____________________

11x     =   29

Now divide by 11:

11x/11  = 29/11

or                   x  =  29/11

Shefali J. | A Complete Math Tuition SolutionA Complete Math Tuition Solution
4.9 4.9 (280 lesson ratings) (280)
0

Hello Rebecca,

For this problem use the cross multiplication. Multiply (2x - 4) by 9 and (x - 1) by 7.

Next, use distributive property and get rid of brackets, you'll get 18x - 36 = 7x - 7

Now you need to isolate the variable x. For that subtract 7x from both sides of the equation. You'll get

11x - 36 = -7

Now, add 36 on both sides of the equation.

11x = 29

Divide both sides by 11