Question

What is the solution to the linear equation?

Answer 1

Hey there! :)

Answer:

x = -5.

Step-by-step explanation:

Solving for x from the equation:

$\frac{2}{3}x - \frac{1}{2} = \frac{1}{3} +\frac{5}{6}x$

Begin by creating a common denominator for the terms involving x as well as the constants:

$\frac{4}{6}x - \frac{3}{6} = \frac{2}{6} +\frac{5}{6}x$

Now that each term has a common denominator, we can begin solving for x by isolating the variable:

Subtract 5/6x from both sides:

$\frac{4}{6}x-\frac{5}{6}x - \frac{3}{6} = \frac{2}{6}$

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

Add 3/6 to both sides:

$-\frac{1}{6}x = \frac{5}{6}$

Divide -1/6 from both sides. (Multiply by the reciprocal, or -6)

$-\frac{1}{6}x(-6) = \frac{5}{6}(-6)$

x = -5.

Answer 2

Answer:x-5

Step-by-step explanation:

Got it correct.