Solve 2+4+2*sqrt{2}*2*x=10

$$2 + 4 + 2 \times \sqrt { 2 } \times 2 \times x = 10$$

Solve for x

$$x=\frac{\sqrt{2}}{2}\approx 0.707106781$$

Steps for Solving Linear Equation

Add 2 and 4 to get 6.

$$6+2\times 2\sqrt{2}x=10$$

Multiply 2 and 2 to get 4.

$$6+4\sqrt{2}x=10$$

Subtract 6 from both sides.

$$4\sqrt{2}x=10-6$$

Subtract 6 from 10 to get 4.

$$4\sqrt{2}x=4$$

Divide both sides by 4\sqrt{2}.

$$\frac{4\sqrt{2}x}{4\sqrt{2}}=\frac{4}{4\sqrt{2}}$$

Dividing by 4\sqrt{2} undoes the multiplication by 4\sqrt{2}.

$$x=\frac{4}{4\sqrt{2}}$$

Divide 4 by 4\sqrt{2}.

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