Solve 2x-4(37/20)=-9

$$2 x - 4 ( \frac { 37 } { 20 } ) = - 9$$

Solve for x

$$x=-\frac{4}{5}=-0.8$$

Steps for Solving Linear Equation

Express 4\times \frac{37}{20} as a single fraction.

$$2x-\frac{4\times 37}{20}=-9$$

Multiply 4 and 37 to get 148.

$$2x-\frac{148}{20}=-9$$

Reduce the fraction \frac{148}{20} to lowest terms by extracting and canceling out 4.

$$2x-\frac{37}{5}=-9$$

Add \frac{37}{5} to both sides.

$$2x=-9+\frac{37}{5}$$

Convert -9 to fraction -\frac{45}{5}.

$$2x=-\frac{45}{5}+\frac{37}{5}$$

Since -\frac{45}{5} and \frac{37}{5} have the same denominator, add them by adding their numerators.

$$2x=\frac{-45+37}{5}$$

Add -45 and 37 to get -8.

$$2x=-\frac{8}{5}$$

Divide both sides by 2.

$$x=\frac{-\frac{8}{5}}{2}$$

Express \frac{-\frac{8}{5}}{2} as a single fraction.

$$x=\frac{-8}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$x=\frac{-8}{10}$$

Reduce the fraction \frac{-8}{10} to lowest terms by extracting and canceling out 2.

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