Solve 3.6*5-3/4x=3/5

$$3.6 \times 5 - \frac { 3 } { 4 } x = \frac { 3 } { 5 }$$

Solve for x

$$x=23.2$$

Steps for Solving Linear Equation

Multiply 3.6 and 5 to get 18.

$$18-\frac{3}{4}x=\frac{3}{5}$$

Subtract 18 from both sides.

$$-\frac{3}{4}x=\frac{3}{5}-18$$

Convert 18 to fraction \frac{90}{5}.

$$-\frac{3}{4}x=\frac{3}{5}-\frac{90}{5}$$

Since \frac{3}{5} and \frac{90}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{3}{4}x=\frac{3-90}{5}$$

Subtract 90 from 3 to get -87.

$$-\frac{3}{4}x=-\frac{87}{5}$$

Multiply both sides by -\frac{4}{3}, the reciprocal of -\frac{3}{4}.

$$x=-\frac{87}{5}\left(-\frac{4}{3}\right)$$

Multiply -\frac{87}{5} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-87\left(-4\right)}{5\times 3}$$

Do the multiplications in the fraction \frac{-87\left(-4\right)}{5\times 3}.

$$x=\frac{348}{15}$$

Reduce the fraction \frac{348}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{116}{5}$$