Question

4/3(x+3)=3/2 please solve the equation ​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

$\sf = > \dfrac{4}{3} (x + 3) = \dfrac{3}{2}$

How to solve :

step 1:First step is to open the brackets.

step 2: Now,take LCM of fractional value

step 3: Evaluate the term .

Step 4:Now,cross Multiply to both sides

Step 5:Make Variable terms and constant term together.

step 6:At last shifts all constant values to constant side and let the Variable alone , evaluate it on the other side will be your solution.Hence,we find the X's value .

$\sf = > \dfrac{4x + 12}{3} = \dfrac{3}{2}$

Cross multiply to both sides

=>2(4x+12)=9

=>8x+24= 9

shifts constant value to constant side

=>8x= 9-24

=>8x= -15

=>x= -15/8

Therefore,x = -15/8

Check:

=>4/3(x+3)= 3/2

Taking left hand side

=>4/3(-15/8+3)

=>4/3(-15+24/8)

=>4/3×9/8

=>9/6 =>3/2

Hence,LHS = RHS (Verified)

Answer 2

=>4/3(x+3)= 3/2

Taking left hand side

=>4/3(-15/8+3)

=>4/3(-15+24/8)

=>4/3×9/8

=>9/6 =>3/2

Hence,LHS = RHS (Verified)