Solve 16x+2=1/2x

$$16x+2 = \frac{ 1 }{ 2 } x$$

Solve for x

$$x=-\frac{4}{31}\approx -0.129032258$$

Steps for Solving Linear Equation

Subtract \frac{1}{2}x from both sides.

$$16x+2-\frac{1}{2}x=0$$

Combine 16x and -\frac{1}{2}x to get \frac{31}{2}x.

$$\frac{31}{2}x+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$\frac{31}{2}x=-2$$

Multiply both sides by \frac{2}{31}, the reciprocal of \frac{31}{2}.

$$x=-2\times \frac{2}{31}$$

Express -2\times \frac{2}{31} as a single fraction.

$$x=\frac{-2\times 2}{31}$$

Multiply -2 and 2 to get -4.

$$x=\frac{-4}{31}$$

Fraction \frac{-4}{31} can be rewritten as -\frac{4}{31} by extracting the negative sign.

$$x=-\frac{4}{31}$$