Question

What is the solution?
6(1/3x+1/3)=3(x+4)

Answer 1

x = -10

Explanation:

Step 1: Simplify both sides of the equation.

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

(6)(
`(1)/(3)x`) + (
`(1)/(3)`) = (3) (x) + (3) (4) (Distribute)

2x + 2 = 3x + 12

Step 2: Subtract 3x from both sides.

2x + 2 − 3x = 3x + 12 − 3x

−x + 2 = 12

Step 3: Subtract 2 from both sides.

−x + 2 − 2 = 12 − 2

−x = 10

Step 4: Divide both sides by -1.

`(-x)/(-1)` =
`(10)/(-1)`

x = -10

Answer 2

x = -10

Explanation:

Perform the indiated multiplication. Recalling that 6(1/3) = 2, we get:

2x + 2 = 3x + 12

Combining like terms:

-10 = x