Solve sqrt{3}x+7=2sqrt{3}x-5

$$\sqrt { 3 } x + 7 = 2 \sqrt { 3 } x - 5$$

Solve for x

$$x=4\sqrt{3}\approx 6.92820323$$

Steps for Solving Linear Equation

Subtract 2\sqrt{3}x from both sides.

$$\sqrt{3}x+7-2\sqrt{3}x=-5$$

Combine \sqrt{3}x and -2\sqrt{3}x to get -\sqrt{3}x.

$$-\sqrt{3}x+7=-5$$

Subtract 7 from both sides.

$$-\sqrt{3}x=-5-7$$

Subtract 7 from -5 to get -12.

$$-\sqrt{3}x=-12$$

The equation is in standard form.

$$\left(-\sqrt{3}\right)x=-12$$

Divide both sides by -\sqrt{3}.

$$\frac{\left(-\sqrt{3}\right)x}{-\sqrt{3}}=-\frac{12}{-\sqrt{3}}$$

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

$$x=-\frac{12}{-\sqrt{3}}$$

Divide -12 by -\sqrt{3}.

$$x=4\sqrt{3}$$