Solve 0.36*5-3/4x=3/5

$$0.36 \times 5 - \frac { 3 } { 4 } x = \frac { 3 } { 5 }$$

Solve for x

$$x=1.6$$

Steps for Solving Linear Equation

Multiply 0.36 and 5 to get 1.8.

$$1.8-\frac{3}{4}x=\frac{3}{5}$$

Subtract 1.8 from both sides.

$$-\frac{3}{4}x=\frac{3}{5}-1.8$$

Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{4}x=\frac{3}{5}-\frac{9}{5}$$

Since \frac{3}{5} and \frac{9}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{3}{4}x=\frac{3-9}{5}$$

Subtract 9 from 3 to get -6.

$$-\frac{3}{4}x=-\frac{6}{5}$$

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

$$x=-\frac{6}{5}\left(-\frac{4}{3}\right)$$

Multiply -\frac{6}{5} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-6\left(-4\right)}{5\times 3}$$

Do the multiplications in the fraction \frac{-6\left(-4\right)}{5\times 3}.

$$x=\frac{24}{15}$$

Reduce the fraction \frac{24}{15} to lowest terms by extracting and canceling out 3.

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