Solve 3.2x+1/2=5/6-0.8x

$$3.2x+ \frac{ 1 }{ 2 } = \frac{ 5 }{ 6 } -0.8x$$

Solve for x

$$x=\frac{1}{12}\approx 0.083333333$$

Steps for Solving Linear Equation

Add 0.8x to both sides.

$$3.2x+\frac{1}{2}+0.8x=\frac{5}{6}$$

Combine 3.2x and 0.8x to get 4x.

$$4x+\frac{1}{2}=\frac{5}{6}$$

Subtract \frac{1}{2} from both sides.

$$4x=\frac{5}{6}-\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{5}{6} and \frac{1}{2} to fractions with denominator 6.

$$4x=\frac{5}{6}-\frac{3}{6}$$

Since \frac{5}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$4x=\frac{5-3}{6}$$

Subtract 3 from 5 to get 2.

$$4x=\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$4x=\frac{1}{3}$$

Divide both sides by 4.

$$x=\frac{\frac{1}{3}}{4}$$

Express \frac{\frac{1}{3}}{4} as a single fraction.

$$x=\frac{1}{3\times 4}$$

Multiply 3 and 4 to get 12.

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