Solve 2x-20/2=frac{200sqrt{3}}{3}

$$\frac { 2 x - 20 } { 2 } = \frac { 200 \sqrt { 3 } } { 3 }$$

Solve for x

$$x=\frac{200\sqrt{3}}{3}+10\approx 125.470053838$$

Steps for Solving Linear Equation

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

$$3\left(2x-20\right)=2\times 200\sqrt{3}$$

Use the distributive property to multiply 3 by 2x-20.

$$6x-60=2\times 200\sqrt{3}$$

Multiply 2 and 200 to get 400.

$$6x-60=400\sqrt{3}$$

Add 60 to both sides.

$$6x=400\sqrt{3}+60$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{400\sqrt{3}+60}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{400\sqrt{3}+60}{6}$$

Divide 400\sqrt{3}+60 by 6.

$$x=\frac{200\sqrt{3}}{3}+10$$