Solve 96=1/2(14.6*x)

$$96= \frac{ 1 }{ 2 } (14.6 \times x)$$

Solve for x

$$x = \frac{960}{73} = 13\frac{11}{73} \approx 13.150684932$$

Steps for Solving Linear Equation

Convert decimal number 14.6 to fraction \frac{146}{10}. Reduce the fraction \frac{146}{10} to lowest terms by extracting and canceling out 2.

$$96=\frac{1}{2}\times \frac{73}{5}x$$

Multiply \frac{1}{2} times \frac{73}{5} by multiplying numerator times numerator and denominator times denominator.

$$96=\frac{1\times 73}{2\times 5}x$$

Do the multiplications in the fraction \frac{1\times 73}{2\times 5}.

$$96=\frac{73}{10}x$$

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

$$\frac{73}{10}x=96$$

Multiply both sides by \frac{10}{73}, the reciprocal of \frac{73}{10}.

$$x=96\times \frac{10}{73}$$

Express 96\times \frac{10}{73} as a single fraction.

$$x=\frac{96\times 10}{73}$$

Multiply 96 and 10 to get 960.

$$x=\frac{960}{73}$$