Solve 2-x=2:5-3

$$2 - x = 2 : 5 - 3$$

Solve for x

$$x = \frac{23}{5} = 4\frac{3}{5} = 4.6$$

Steps for Solving Linear Equation

Convert 3 to fraction \frac{15}{5}.

$$2-x=\frac{2}{5}-\frac{15}{5}$$

Since \frac{2}{5} and \frac{15}{5} have the same denominator, subtract them by subtracting their numerators.

$$2-x=\frac{2-15}{5}$$

Subtract 15 from 2 to get -13.

$$2-x=-\frac{13}{5}$$

Subtract 2 from both sides.

$$-x=-\frac{13}{5}-2$$

Convert 2 to fraction \frac{10}{5}.

$$-x=-\frac{13}{5}-\frac{10}{5}$$

Since -\frac{13}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{-13-10}{5}$$

Subtract 10 from -13 to get -23.

$$-x=-\frac{23}{5}$$

Multiply both sides by -1.

$$x=\frac{23}{5}$$