Solve 7x=-64/70-9/14

$$7x=- \frac{ 64 }{ 70 } - \frac{ 9 }{ 14 }$$

Solve for x

$$x=-\frac{109}{490}\approx -0.22244898$$

Steps for Solving Linear Equation

Reduce the fraction \frac{64}{70} to lowest terms by extracting and canceling out 2.

$$7x=-\frac{32}{35}-\frac{9}{14}$$

Least common multiple of 35 and 14 is 70. Convert -\frac{32}{35} and \frac{9}{14} to fractions with denominator 70.

$$7x=-\frac{64}{70}-\frac{45}{70}$$

Since -\frac{64}{70} and \frac{45}{70} have the same denominator, subtract them by subtracting their numerators.

$$7x=\frac{-64-45}{70}$$

Subtract 45 from -64 to get -109.

$$7x=-\frac{109}{70}$$

Divide both sides by 7.

$$x=\frac{-\frac{109}{70}}{7}$$

Express \frac{-\frac{109}{70}}{7} as a single fraction.

$$x=\frac{-109}{70\times 7}$$

Multiply 70 and 7 to get 490.

$$x=\frac{-109}{490}$$

Fraction \frac{-109}{490} can be rewritten as -\frac{109}{490} by extracting the negative sign.

$$x=-\frac{109}{490}$$