1/3 x*0.2+2/3 x*0.4=30 — step-by-step solution

⚠ 1/3 x*0.2+2/3 x*0.4=30 is read as (1/3)*x*0.2+(2/3)*x*0.4=30: use parentheses around the denominator to include the following factor in it

Let's solve in

ℝ

\frac{1}{3} \cdot x \cdot 0.2 + \frac{2}{3} \cdot x \cdot 0.4 = 30

ℹ

\frac{1}{3} \cdot 0.2

\frac{0.2}{3}

‖

\frac{2}{3} \cdot 0.4

\frac{0.8}{3}

\frac{0.2}{3} \cdot x + \frac{0.8}{3} \cdot x = 30

ℹ

\frac{0.2}{3}

\frac{1}{15}

‖

\frac{0.8}{3}

\frac{4}{15}

\frac{1}{15} \cdot x + \frac{4}{15} \cdot x = 30

ℹ

\frac{1}{15} \cdot x

\frac{x}{15}

‖

\frac{4}{15} \cdot x

\frac{4 x}{15}

‖

\frac{x}{15} + \frac{4 x}{15}

\frac{x}{3}

\frac{x}{3} = 30

x = 30 \cdot 3

▶Solution obtained:

x = 90