I need help with solving multistep equation homework

Question

2/3 x + 5x -3 = 4/6

 

 

3x/4 -3 = 1/2

Answer 1

Hi Cynthia;

2/3 x + 5x -3 = 4/6

I am assuming this is...

2/3(x) + 5x -3=4/6

I am assuming this is NOT...

(2/(3x))+5x-3=4/6

 

Let's first notice that 4/6=2/3

2/3(x) + 5x -3=2/3

Let's discard the fractions by multiplying both sides by 3...

3[2/3(x) + 5x -3]=(3)2/3

2x+15x-9=6/3=2

Let's combine 2x+15x

17x-9=2

Let's proceed to isolate x by adding 9 to both sides...

9+17x-9=2+9

17x=11

Let's divide both sides by 17...

17x/17=11/17

x=11/17

 

***********************

3x/4 -3 = 1/2

I am assuming this is...

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

I am assuming this is NOT...

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

 

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

Let's discard the fractions by multiplying both sides by 4...

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

3x-12=2

Let's proceed to isolate x by adding 12 to both sides...

3x-12+12=2+12

3x=14

Let's divide both sides by 3...

3x/3=14/3

x=14/3

Answer 2

3x/4 - 3 = 1/2 

 

3x/4 = 1/2+3

 

3x/4 = (1+6)/2 = 7/2

 

x = (4 x 7 ) / (2 x 3)

 

x = 14 / 3

 

x= 4(2/3)