Question

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

Answer 1

(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

Answer 2

Answer:

x=−6/5

Step-by-step explanation:

$\frac{x}{3} - 2 + \frac{x}{2} + 6 = 3$

Simplify both sides of the equation:

$\frac{x}{3} - 2 + \frac{x}{2} + 6 = 3$

$\frac{1}{3} x + -2 + \frac{1}{2} x + 6 = 3$

$( 1/3x + 1/2x ) + ( −2+6 ) = 3$   (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:

$(6/5) * (5/6x) = (6/5) * (−1)$

$x=−6/5$