Solve 26.5-19div2*x=0.277

$$26.5-19 \div 2 \times x=0.277$$

Solve for x

$$x = \frac{26223}{9500} = 2\frac{7223}{9500} \approx 2.760315789$$

Steps for Solving Linear Equation

Subtract 26.5 from both sides.

$$-\frac{19}{2}x=0.277-26.5$$

Subtract 26.5 from 0.277 to get -26.223.

$$-\frac{19}{2}x=-26.223$$

Multiply both sides by -\frac{2}{19}, the reciprocal of -\frac{19}{2}.

$$x=-26.223\left(-\frac{2}{19}\right)$$

Convert decimal number -26.223 to fraction -\frac{26223}{1000}.

$$x=-\frac{26223}{1000}\left(-\frac{2}{19}\right)$$

Multiply -\frac{26223}{1000} times -\frac{2}{19} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-26223\left(-2\right)}{1000\times 19}$$

Do the multiplications in the fraction \frac{-26223\left(-2\right)}{1000\times 19}.

$$x=\frac{52446}{19000}$$

Reduce the fraction \frac{52446}{19000} to lowest terms by extracting and canceling out 2.

$$x=\frac{26223}{9500}$$