Question

What is the solution to the linear equation? 2/3x – 1/2 = 1/3 + 5/6 x

Answer 1

Answer: $x=-5$

Step-by-step explanation:

You need to find the value of the variable "x".

Solve for "x":

Subtract $\frac{5}{6}x$ from both sides of the equation:

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

Add  $\frac{1}{2}$  to both sides of the equation:

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

Multiply both sides of the equation by -6:

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