Solve 3(195/128)/3-5x/2=-2

$$\frac { 3 ( \frac { 195 } { 128 } ) } { 3 } - \frac { 5 x } { 2 } = - 2$$

Solve for x

$$x = \frac{451}{320} = 1\frac{131}{320} = 1.409375$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\times 3\times \frac{195}{128}-3\times 5x=-12$$

Multiply 2 and 3 to get 6.

$$6\times \frac{195}{128}-3\times 5x=-12$$

Express 6\times \frac{195}{128} as a single fraction.

$$\frac{6\times 195}{128}-3\times 5x=-12$$

Multiply 6 and 195 to get 1170.

$$\frac{1170}{128}-3\times 5x=-12$$

Reduce the fraction \frac{1170}{128} to lowest terms by extracting and canceling out 2.

$$\frac{585}{64}-3\times 5x=-12$$

Multiply -3 and 5 to get -15.

$$\frac{585}{64}-15x=-12$$

Subtract \frac{585}{64} from both sides.

$$-15x=-12-\frac{585}{64}$$

Convert -12 to fraction -\frac{768}{64}.

$$-15x=-\frac{768}{64}-\frac{585}{64}$$

Since -\frac{768}{64} and \frac{585}{64} have the same denominator, subtract them by subtracting their numerators.

$$-15x=\frac{-768-585}{64}$$

Subtract 585 from -768 to get -1353.

$$-15x=-\frac{1353}{64}$$

Divide both sides by -15.

$$x=\frac{-\frac{1353}{64}}{-15}$$

Express \frac{-\frac{1353}{64}}{-15} as a single fraction.

$$x=\frac{-1353}{64\left(-15\right)}$$

Multiply 64 and -15 to get -960.

$$x=\frac{-1353}{-960}$$

Reduce the fraction \frac{-1353}{-960} to lowest terms by extracting and canceling out -3.

$$x=\frac{451}{320}$$