Solve 14(12+sqrt{11})=10-x(12*5)

$$14(12+ \sqrt{ 11 } )=10-x(12 \times 5)$$

Solve for x

$$x=\frac{-7\sqrt{11}-79}{30}\approx -3.407212451$$

Steps for Solving Linear Equation

Use the distributive property to multiply 14 by 12+\sqrt{11}.

$$168+14\sqrt{11}=10-x\times 12\times 5$$

Multiply 12 and 5 to get 60.

$$168+14\sqrt{11}=10-x\times 60$$

Swap sides so that all variable terms are on the left hand side.

$$10-x\times 60=168+14\sqrt{11}$$

Multiply -1 and 60 to get -60.

$$10-60x=168+14\sqrt{11}$$

Subtract 10 from both sides.

$$-60x=168+14\sqrt{11}-10$$

Subtract 10 from 168 to get 158.

$$-60x=158+14\sqrt{11}$$

The equation is in standard form.

$$-60x=14\sqrt{11}+158$$

Divide both sides by -60.

$$\frac{-60x}{-60}=\frac{14\sqrt{11}+158}{-60}$$

Dividing by -60 undoes the multiplication by -60.

$$x=\frac{14\sqrt{11}+158}{-60}$$

Divide 158+14\sqrt{11} by -60.

$$x=\frac{-7\sqrt{11}-79}{30}$$