Question

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

pls help me

Answer 1

Answer:

x=16

Step-by-step explanation:

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

distribute both sides

1 /2 (x−4)= 1/ 3 (x+2)

( 1 /2 )(x) + ( 1/ 2 )(−4) =( 1 /3 ) (x)+( 1/3 )(2)(Distribute)

1 /2 x+−2= 1 /3 x+ 2 /3

1 /2 x+−2= 1 /3 x+ 2 /3

Step 2: Subtract 1/3x from both sides.

1/2x -2 -1/3 x

x= 1 /3 x + 2/3  − 1/ 3 x

1 /6  x−2= 2/ 3

Step 3: Add 2 to both sides.

1 /6 x −2+2= 2/ 3  +2

1 /6 x = 8 /3

Step 4: Multiply both sides by 6.

6*( 1/6 x) =6*( 8 /3 )

x=16

Answer 2

First, apply the distribution property of multiplication.
1/2x - 2 = 1/3x + 2/3
Then, isolate x. To do this, subtract 1/2x on both sides and subtract 2/3 from both sides.
-2 - 2/3 = 1/3x - 1/2x
Make them the same denominator. The left side's denominator is 3 and the right side's denominator is 6.
-6/3 - 2/3 = 2/6x - 3/6x
Subtract.
-8/3 = -1/6x
Multiply both sides by -6 to get rid of the denominator on x.
-8/3 * -6 = -1/6x * -6
48/3 = x
16 = x
Your answer is 16.