Solve 9(x+160)-195=225/4

$$9 ( x + 160 ) - 195 = \frac { 225 } { 4 }$$

Solve for x

$$x = -\frac{1585}{12} = -132\frac{1}{12} \approx -132.083333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by x+160.

$$9x+1440-195=\frac{225}{4}$$

Subtract 195 from 1440 to get 1245.

$$9x+1245=\frac{225}{4}$$

Subtract 1245 from both sides.

$$9x=\frac{225}{4}-1245$$

Convert 1245 to fraction \frac{4980}{4}.

$$9x=\frac{225}{4}-\frac{4980}{4}$$

Since \frac{225}{4} and \frac{4980}{4} have the same denominator, subtract them by subtracting their numerators.

$$9x=\frac{225-4980}{4}$$

Subtract 4980 from 225 to get -4755.

$$9x=-\frac{4755}{4}$$

Divide both sides by 9.

$$x=\frac{-\frac{4755}{4}}{9}$$

Express \frac{-\frac{4755}{4}}{9} as a single fraction.

$$x=\frac{-4755}{4\times 9}$$

Multiply 4 and 9 to get 36.

$$x=\frac{-4755}{36}$$

Reduce the fraction \frac{-4755}{36} to lowest terms by extracting and canceling out 3.

$$x=-\frac{1585}{12}$$