2/3+1/5 x-1/4 = 4/5 x — step-by-step solution | Explain MAths

2/3+1/5 x-1/4 = 4/5 x

Let's solve in

ℝ

:

\frac{2}{3} + \frac{1}{5} \cdot x - \frac{1}{4} = \frac{4}{5} \cdot x

ℹ

\frac{1}{5} \cdot x

=

\frac{x}{5}

‖

\frac{2}{3} - \frac{1}{4}

=

\frac{2 \cdot 4 - 1 \cdot 3}{3 \cdot 4}

‖

\frac{4}{5} \cdot x

=

\frac{4 x}{5}

\frac{2 \cdot 4 - 1 \cdot 3}{3 \cdot 4} + \frac{x}{5} = \frac{4 x}{5}

ℹ

2 \cdot 4

=

8

‖

-1 \cdot 3

=

-3

‖

3 \cdot 4

=

12

\frac{8 - 3}{12} + \frac{x}{5} = \frac{4 x}{5}

\frac{5}{12} + \frac{x}{5} = \frac{4 x}{5}

Let's add fractions:

\frac{5}{12} + \frac{x}{5} - \frac{4 x}{5} = 0

ℹ

\frac{x}{5} - \frac{4 x}{5}

=

\frac{-3 x}{5}

‖

\frac{5}{12} + \frac{-3 x}{5}

=

\frac{5 \cdot 5 - 3 x \cdot 12}{12 \cdot 5}

\frac{5 \cdot 5 - 3 x \cdot 12}{12 \cdot 5} = 0

ℹ

5 \cdot 5

=

25

‖

3 \cdot 12

=

36

‖

12 \cdot 5

=

60

\frac{25 - 36 x}{60} = 0

Let's solve in

ℝ

:

25 - 36 x = 0

36 x = 25

▶Solution obtained:

x = \frac{25}{36}

The numeric value of:

x = \frac{25}{36}

is:

▷

x = \approx 0.6944