Solve 78=1/2x(6.4+13)

$$78= \frac{ 1 }{ 2 } x(6.4+13)$$

Solve for x

$$x = \frac{780}{97} = 8\frac{4}{97} \approx 8.041237113$$

Steps for Solving Linear Equation

Add 6.4 and 13 to get 19.4.

$$78=\frac{1}{2}x\times 19.4$$

Convert decimal number 19.4 to fraction \frac{194}{10}. Reduce the fraction \frac{194}{10} to lowest terms by extracting and canceling out 2.

$$78=\frac{1}{2}x\times \frac{97}{5}$$

Multiply \frac{1}{2} times \frac{97}{5} by multiplying numerator times numerator and denominator times denominator.

$$78=\frac{1\times 97}{2\times 5}x$$

Do the multiplications in the fraction \frac{1\times 97}{2\times 5}.

$$78=\frac{97}{10}x$$

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

$$\frac{97}{10}x=78$$

Multiply both sides by \frac{10}{97}, the reciprocal of \frac{97}{10}.

$$x=78\times \frac{10}{97}$$

Express 78\times \frac{10}{97} as a single fraction.

$$x=\frac{78\times 10}{97}$$

Multiply 78 and 10 to get 780.

$$x=\frac{780}{97}$$