Solve frac{sqrt{3}}{2}(sin10^circ*1+x)=2

$$\frac { \sqrt { 3 } } { 2 } ( \sin 10 ^ { \circ } \cdot 1 + x ) = 2$$

Solve for x

$$x=\frac{4\sqrt{3}}{3}-0.17364817766693033\approx 2.135752899$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{\sqrt{3}}{2} {(0.17364817766693033 + x)} = 2$$

Multiply both sides of the equation by 2.

$$\sqrt{3}\left(0.17364817766693033+x\right)=4$$

Use the distributive property to multiply \sqrt{3} by 0.17364817766693033+x.

$$0.17364817766693033\sqrt{3}+\sqrt{3}x=4$$

Subtract 0.17364817766693033\sqrt{3} from both sides.

$$\sqrt{3}x=4-0.17364817766693033\sqrt{3}$$

The equation is in standard form.

$$\sqrt{3}x=-\frac{17364817766693033\sqrt{3}}{100000000000000000}+4$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{-\frac{17364817766693033\sqrt{3}}{100000000000000000}+4}{\sqrt{3}}$$

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

$$x=\frac{-\frac{17364817766693033\sqrt{3}}{100000000000000000}+4}{\sqrt{3}}$$

Divide 4-\frac{17364817766693033\sqrt{3}}{100000000000000000} by \sqrt{3}.

$$x=\frac{4\sqrt{3}}{3}-\frac{17364817766693033}{100000000000000000}$$