Answer
$x=\frac{40}{3}$
Work Step by Step
We are given that $\frac{3x-1}{9}+x=\frac{3x+1}{3}+4$. First, we can multiply each term by 9. Since this is the least common denominator of each term, this will eliminate all fractions from the equation.
$\frac{3x-1}{9}\times9+x\times9=\frac{3x+1}{3}\times9+4\times9$
$3x-1+9x=3\times(3x+1)+36$
Use the distributive property to simplify the right side.
$3x-1+9x=9x+3+36$
Group like terms on both sides.
$12x-1=9x+39$
Add 1 to both sides.
$12x=9x+40$
Subtract 9x from both sides.
$3x=40$
Divide both sides by 3.
$x=\frac{40}{3}$
