Solve 5x+14=1/5

$$5 x + 14 = \frac { 1 } { 5 }$$

Solve for x

$$x = -\frac{69}{25} = -2\frac{19}{25} = -2.76$$

Steps for Solving Linear Equation

Subtract 14 from both sides.

$$5x=\frac{1}{5}-14$$

Convert 14 to fraction \frac{70}{5}.

$$5x=\frac{1}{5}-\frac{70}{5}$$

Since \frac{1}{5} and \frac{70}{5} have the same denominator, subtract them by subtracting their numerators.

$$5x=\frac{1-70}{5}$$

Subtract 70 from 1 to get -69.

$$5x=-\frac{69}{5}$$

Divide both sides by 5.

$$x=\frac{-\frac{69}{5}}{5}$$

Express \frac{-\frac{69}{5}}{5} as a single fraction.

$$x=\frac{-69}{5\times 5}$$

Multiply 5 and 5 to get 25.

$$x=\frac{-69}{25}$$

Fraction \frac{-69}{25} can be rewritten as -\frac{69}{25} by extracting the negative sign.

$$x=-\frac{69}{25}$$