x/3+x/2 = 5/6 — step-by-step solution

Let's solve in

ℝ

\frac{x}{3} + \frac{x}{2} = \frac{5}{6}

ⓘ Like terms are grouped by adding their coefficients:

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

\frac{5 x}{6}

\frac{5 x}{6} = \frac{5}{6}

5 x = \frac{5}{6} \cdot 6

ⓘ Multiplying a fraction by a number multiplies its numerator:

\frac{5}{6} \cdot 6

\frac{5 \cdot 6}{6}

\frac{30}{6}

5 x = \frac{30}{6}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

6

, their greatest common divisor:

\frac{30}{6}

5

5 x = 5

ⓘ Both sides are divided by

5

x = \frac{5}{5}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

5

, their greatest common divisor:

\frac{5}{5}

1

▶Solution obtained:

x = 1