Question

What is the step-by-step answer to
(X/3 - 2)+(X/2 + 6)=3

Answer 1

x=−6/5

Explanation:

`(x)/(3) - 2 + (x)/(2) + 6 = 3\\`

Simplify both sides of the equation:

`(x)/(3) - 2 + (x)/(2) + 6 = 3`

`(1)/(3) x + -2 + (1)/(2) x + 6 = 3`

`( 1/3x + 1/2x ) + ( −2+6 ) = 3` (Combine Like Terms)

`5/6 x + 4 = 3`

Subtract 4 from both sides:

`5/6x + 4−4= 3−4`

`5/6x = −1`

Multiply both sides by 6/5:

`(6/5) * (5/6x) = (6/5) * (−1)`

`x=−6/5`

Answer 2

(X/3 - 2) + (X/2 + 6) = 3

X/3 - 2 + X/2 + 6 =3

5X/6 + 4 = 3

5X/6 = 3 - 4

5X/6 = - 1

5X = - 1 times 6

5X = - 6

X = - 6/5

And in decimal form: - 1.2