Solve 1-3/4x=7/10

$$1- \frac{ 3 }{ 4 } x= \frac{ 7 }{ 10 }$$

Solve for x

$$x=\frac{2}{5}=0.4$$

Steps for Solving Linear Equation

Subtract 1 from both sides.

$$-\frac{3}{4}x=\frac{7}{10}-1$$

Convert 1 to fraction \frac{10}{10}.

$$-\frac{3}{4}x=\frac{7}{10}-\frac{10}{10}$$

Since \frac{7}{10} and \frac{10}{10} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{3}{4}x=\frac{7-10}{10}$$

Subtract 10 from 7 to get -3.

$$-\frac{3}{4}x=-\frac{3}{10}$$

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

$$x=-\frac{3}{10}\left(-\frac{4}{3}\right)$$

Multiply -\frac{3}{10} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-3\left(-4\right)}{10\times 3}$$

Do the multiplications in the fraction \frac{-3\left(-4\right)}{10\times 3}.

$$x=\frac{12}{30}$$

Reduce the fraction \frac{12}{30} to lowest terms by extracting and canceling out 6.

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