Solve 0.5=-10div3+2x

$$0.5=-10 \div 3+2x$$

Solve for x

$$x = \frac{23}{12} = 1\frac{11}{12} \approx 1.916666667$$

Steps for Solving Linear Equation

Fraction \frac{-10}{3} can be rewritten as -\frac{10}{3} by extracting the negative sign.

$$0.5=-\frac{10}{3}+2x$$

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

$$-\frac{10}{3}+2x=0.5$$

Add \frac{10}{3} to both sides.

$$2x=0.5+\frac{10}{3}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$2x=\frac{1}{2}+\frac{10}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{10}{3} to fractions with denominator 6.

$$2x=\frac{3}{6}+\frac{20}{6}$$

Since \frac{3}{6} and \frac{20}{6} have the same denominator, add them by adding their numerators.

$$2x=\frac{3+20}{6}$$

Add 3 and 20 to get 23.

$$2x=\frac{23}{6}$$

Divide both sides by 2.

$$x=\frac{\frac{23}{6}}{2}$$

Express \frac{\frac{23}{6}}{2} as a single fraction.

$$x=\frac{23}{6\times 2}$$

Multiply 6 and 2 to get 12.

$$x=\frac{23}{12}$$