Solve 4/3-5/4=1.6x

$$\frac{ 4 }{ 3 } - \frac{ 5 }{ 4 } =1.6x$$

Solve for x

$$x=\frac{5}{96}\approx 0.052083333$$

Steps for Solving Linear Equation

Least common multiple of 3 and 4 is 12. Convert \frac{4}{3} and \frac{5}{4} to fractions with denominator 12.

$$\frac{16}{12}-\frac{15}{12}=1.6x$$

Since \frac{16}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-15}{12}=1.6x$$

Subtract 15 from 16 to get 1.

$$\frac{1}{12}=1.6x$$

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

$$1.6x=\frac{1}{12}$$

Divide both sides by 1.6.

$$x=\frac{\frac{1}{12}}{1.6}$$

Express \frac{\frac{1}{12}}{1.6} as a single fraction.

$$x=\frac{1}{12\times 1.6}$$

Multiply 12 and 1.6 to get 19.2.

$$x=\frac{1}{19.2}$$

Expand \frac{1}{19.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{10}{192}$$

Reduce the fraction \frac{10}{192} to lowest terms by extracting and canceling out 2.

$$x=\frac{5}{96}$$