Solve 3/4+1/2x+2=0

$$\frac{ 3 }{ 4 } + \frac{ 1 }{ 2 } x+2 = 0$$

Solve for x

$$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

Convert 2 to fraction \frac{8}{4}.

$$\frac{3}{4}+\frac{1}{2}x+\frac{8}{4}=0$$

Since \frac{3}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+8}{4}+\frac{1}{2}x=0$$

Add 3 and 8 to get 11.

$$\frac{11}{4}+\frac{1}{2}x=0$$

Subtract \frac{11}{4} from both sides. Anything subtracted from zero gives its negation.

$$\frac{1}{2}x=-\frac{11}{4}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=-\frac{11}{4}\times 2$$

Express -\frac{11}{4}\times 2 as a single fraction.

$$x=\frac{-11\times 2}{4}$$

Multiply -11 and 2 to get -22.

$$x=\frac{-22}{4}$$

Reduce the fraction \frac{-22}{4} to lowest terms by extracting and canceling out 2.

$$x=-\frac{11}{2}$$