Solve 208+18x=2505/208

$$208 + 18 x = \frac { 2505 } { 208 }$$

Solve for x

$$x = -\frac{40759}{3744} = -10\frac{3319}{3744} \approx -10.886485043$$

Steps for Solving Linear Equation

Subtract 208 from both sides.

$$18x=\frac{2505}{208}-208$$

Convert 208 to fraction \frac{43264}{208}.

$$18x=\frac{2505}{208}-\frac{43264}{208}$$

Since \frac{2505}{208} and \frac{43264}{208} have the same denominator, subtract them by subtracting their numerators.

$$18x=\frac{2505-43264}{208}$$

Subtract 43264 from 2505 to get -40759.

$$18x=-\frac{40759}{208}$$

Divide both sides by 18.

$$x=\frac{-\frac{40759}{208}}{18}$$

Express \frac{-\frac{40759}{208}}{18} as a single fraction.

$$x=\frac{-40759}{208\times 18}$$

Multiply 208 and 18 to get 3744.

$$x=\frac{-40759}{3744}$$

Fraction \frac{-40759}{3744} can be rewritten as -\frac{40759}{3744} by extracting the negative sign.

$$x=-\frac{40759}{3744}$$