Solve 108=1/2(5.2)x

$$108= \frac{ 1 }{ 2 } (5.2)x$$

Solve for x

$$x = \frac{540}{13} = 41\frac{7}{13} \approx 41.538461538$$

Steps for Solving Linear Equation

Convert decimal number 5.2 to fraction \frac{52}{10}. Reduce the fraction \frac{52}{10} to lowest terms by extracting and canceling out 2.

$$108=\frac{1}{2}\times \frac{26}{5}x$$

Multiply \frac{1}{2} times \frac{26}{5} by multiplying numerator times numerator and denominator times denominator.

$$108=\frac{1\times 26}{2\times 5}x$$

Do the multiplications in the fraction \frac{1\times 26}{2\times 5}.

$$108=\frac{26}{10}x$$

Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.

$$108=\frac{13}{5}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{13}{5}x=108$$

Multiply both sides by \frac{5}{13}, the reciprocal of \frac{13}{5}.

$$x=108\times \frac{5}{13}$$

Express 108\times \frac{5}{13} as a single fraction.

$$x=\frac{108\times 5}{13}$$

Multiply 108 and 5 to get 540.

$$x=\frac{540}{13}$$