Solve 3/2-4=x+6/2

$$\frac { 3 } { 2 } - 4 = x + \frac { 6 } { 2 }$$

Solve for x

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

Steps for Solving Linear Equation

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

$$\frac{3}{2}-\frac{8}{2}=x+\frac{6}{2}$$

Since \frac{3}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-8}{2}=x+\frac{6}{2}$$

Subtract 8 from 3 to get -5.

$$-\frac{5}{2}=x+\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$-\frac{5}{2}=x+3$$

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

$$x+3=-\frac{5}{2}$$

Subtract 3 from both sides.

$$x=-\frac{5}{2}-3$$

Convert 3 to fraction \frac{6}{2}.

$$x=-\frac{5}{2}-\frac{6}{2}$$

Since -\frac{5}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-5-6}{2}$$

Subtract 6 from -5 to get -11.

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