(2x)/3 =3+x/2 — step-by-step solution

Let's solve in

ℝ

\frac{2 x}{3} = 3 + \frac{x}{2}

Let's sum the fractions:

\frac{2 x}{3} - 3 - \frac{x}{2} = 0

ⓘ Like terms are grouped by adding their coefficients:

\frac{2 x}{3} - \frac{x}{2}

\frac{x}{6}

\frac{x}{6} - 3 = 0

ⓘ To add fractions, put them over the same denominator, then add the numerators:

\frac{x}{6} - 3

\frac{x - 3 \cdot 6}{6}

\frac{x - 3 \cdot 6}{6} = 0

ⓘ Multiplications are done before additions and subtractions:

3 \cdot 6

18

\frac{x - 18}{6} = 0

⇥Let's solve in

ℝ

x - 18 = 0

▶Solution found:

x = 18