Solve 5x=7/3-2.3

$$5 x = \frac { 7 } { 3 } - 2.3$$

Solve for x

$$x=\frac{1}{150}\approx 0.006666667$$

Steps for Solving Linear Equation

Convert decimal number 2.3 to fraction \frac{23}{10}.

$$5x=\frac{7}{3}-\frac{23}{10}$$

Least common multiple of 3 and 10 is 30. Convert \frac{7}{3} and \frac{23}{10} to fractions with denominator 30.

$$5x=\frac{70}{30}-\frac{69}{30}$$

Since \frac{70}{30} and \frac{69}{30} have the same denominator, subtract them by subtracting their numerators.

$$5x=\frac{70-69}{30}$$

Subtract 69 from 70 to get 1.

$$5x=\frac{1}{30}$$

Divide both sides by 5.

$$x=\frac{\frac{1}{30}}{5}$$

Express \frac{\frac{1}{30}}{5} as a single fraction.

$$x=\frac{1}{30\times 5}$$

Multiply 30 and 5 to get 150.

$$x=\frac{1}{150}$$