Solve 4=-3/8x+27/4

$$4 = - \frac { 3 } { 8 } x + \frac { 27 } { 4 }$$

Solve for x

$$x = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333$$

Steps for Solving Linear Equation

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

$$-\frac{3}{8}x+\frac{27}{4}=4$$

Subtract \frac{27}{4} from both sides.

$$-\frac{3}{8}x=4-\frac{27}{4}$$

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

$$-\frac{3}{8}x=\frac{16}{4}-\frac{27}{4}$$

Since \frac{16}{4} and \frac{27}{4} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{3}{8}x=\frac{16-27}{4}$$

Subtract 27 from 16 to get -11.

$$-\frac{3}{8}x=-\frac{11}{4}$$

Multiply both sides by -\frac{8}{3}, the reciprocal of -\frac{3}{8}.

$$x=-\frac{11}{4}\left(-\frac{8}{3}\right)$$

Multiply -\frac{11}{4} times -\frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-11\left(-8\right)}{4\times 3}$$

Do the multiplications in the fraction \frac{-11\left(-8\right)}{4\times 3}.

$$x=\frac{88}{12}$$

Reduce the fraction \frac{88}{12} to lowest terms by extracting and canceling out 4.

$$x=\frac{22}{3}$$