Solve 21/4=-3/4x+4

$$\frac{ 21 }{ 4 } =- \frac{ 3 }{ 4 } x+4$$

Solve for x

$$x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$-\frac{3}{4}x+4=\frac{21}{4}$$

Subtract 4 from both sides.

$$-\frac{3}{4}x=\frac{21}{4}-4$$

Convert 4 to fraction \frac{16}{4}.

$$-\frac{3}{4}x=\frac{21}{4}-\frac{16}{4}$$

Since \frac{21}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{3}{4}x=\frac{21-16}{4}$$

Subtract 16 from 21 to get 5.

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

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

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

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

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

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

$$x=\frac{-20}{12}$$

Reduce the fraction \frac{-20}{12} to lowest terms by extracting and canceling out 4.

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