Solve -frac{sqrt{3}}{3}x+3=1/2

$$- \frac { \sqrt { 3 } } { 3 } x + 3 = \frac { 1 } { 2 }$$

Solve for x

$$x = \frac{5 \sqrt{3}}{2} \approx 4.330127019$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$6\left(-\frac{\sqrt{3}}{3}\right)x+18=3$$

Cancel out 3, the greatest common factor in 6 and 3.

$$-2\sqrt{3}x+18=3$$

Subtract 18 from both sides.

$$-2\sqrt{3}x=3-18$$

Subtract 18 from 3 to get -15.

$$-2\sqrt{3}x=-15$$

The equation is in standard form.

$$\left(-2\sqrt{3}\right)x=-15$$

Divide both sides by -2\sqrt{3}.

$$\frac{\left(-2\sqrt{3}\right)x}{-2\sqrt{3}}=-\frac{15}{-2\sqrt{3}}$$

Dividing by -2\sqrt{3} undoes the multiplication by -2\sqrt{3}.

$$x=-\frac{15}{-2\sqrt{3}}$$

Divide -15 by -2\sqrt{3}.

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