Solve 2.3(2w+1.4)=-9.66

$$2.3 ( 2 w + 1.4 ) = - 9.66$$

Solve for w

$$w=-2.8$$

Steps for Solving Linear Equation

Divide both sides by 2.3.

$$2w+1.4=\frac{-9.66}{2.3}$$

Expand \frac{-9.66}{2.3} by multiplying both numerator and the denominator by 100.

$$2w+1.4=\frac{-966}{230}$$

Reduce the fraction \frac{-966}{230} to lowest terms by extracting and canceling out 46.

$$2w+1.4=-\frac{21}{5}$$

Subtract 1.4 from both sides.

$$2w=-\frac{21}{5}-1.4$$

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$2w=-\frac{21}{5}-\frac{7}{5}$$

Since -\frac{21}{5} and \frac{7}{5} have the same denominator, subtract them by subtracting their numerators.

$$2w=\frac{-21-7}{5}$$

Subtract 7 from -21 to get -28.

$$2w=-\frac{28}{5}$$

Divide both sides by 2.

$$w=\frac{-\frac{28}{5}}{2}$$

Express \frac{-\frac{28}{5}}{2} as a single fraction.

$$w=\frac{-28}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$w=\frac{-28}{10}$$

Reduce the fraction \frac{-28}{10} to lowest terms by extracting and canceling out 2.

$$w=-\frac{14}{5}$$