Solve 28x=9/2x-5

$$28 x = \frac { 9 } { 2 } x - 5$$

Solve for x

$$x=-\frac{10}{47}\approx -0.212765957$$

Steps for Solving Linear Equation

Subtract \frac{9}{2}x from both sides.

$$28x-\frac{9}{2}x=-5$$

Combine 28x and -\frac{9}{2}x to get \frac{47}{2}x.

$$\frac{47}{2}x=-5$$

Multiply both sides by \frac{2}{47}, the reciprocal of \frac{47}{2}.

$$x=-5\times \frac{2}{47}$$

Express -5\times \frac{2}{47} as a single fraction.

$$x=\frac{-5\times 2}{47}$$

Multiply -5 and 2 to get -10.

$$x=\frac{-10}{47}$$

Fraction \frac{-10}{47} can be rewritten as -\frac{10}{47} by extracting the negative sign.

$$x=-\frac{10}{47}$$