Solve 28x=9/2x-50

$$28 x = \frac { 9 } { 2 } x - 50$$

Solve for x

$$x = -\frac{100}{47} = -2\frac{6}{47} \approx -2.127659574$$

Steps for Solving Linear Equation

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

$$28x-\frac{9}{2}x=-50$$

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

$$\frac{47}{2}x=-50$$

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

$$x=-50\times \frac{2}{47}$$

Express -50\times \frac{2}{47} as a single fraction.

$$x=\frac{-50\times 2}{47}$$

Multiply -50 and 2 to get -100.

$$x=\frac{-100}{47}$$

Fraction \frac{-100}{47} can be rewritten as -\frac{100}{47} by extracting the negative sign.

$$x=-\frac{100}{47}$$