Solve 2(x+6)=28-x2x

$$2 ( x + 6 ) = 28 - x 2 x$$

Solve for x

$$x=\frac{16}{x_{2}+2}$$

$$x_{2}\neq -2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+6.

$$2x+12=28-x_{2}x$$

Add x_{2}x to both sides.

$$2x+12+x_{2}x=28$$

Subtract 12 from both sides.

$$2x+x_{2}x=28-12$$

Subtract 12 from 28 to get 16.

$$2x+x_{2}x=16$$

Combine all terms containing x.

$$\left(2+x_{2}\right)x=16$$

The equation is in standard form.

$$\left(x_{2}+2\right)x=16$$

Divide both sides by x_{2}+2.

$$\frac{\left(x_{2}+2\right)x}{x_{2}+2}=\frac{16}{x_{2}+2}$$

Dividing by x_{2}+2 undoes the multiplication by x_{2}+2.

$$x=\frac{16}{x_{2}+2}$$

Solve for x_2

$$x_{2}=-2+\frac{16}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+6.

$$2x+12=28-x_{2}x$$

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

$$28-x_{2}x=2x+12$$

Subtract 28 from both sides.

$$-x_{2}x=2x+12-28$$

Subtract 28 from 12 to get -16.

$$-x_{2}x=2x-16$$

The equation is in standard form.

$$\left(-x\right)x_{2}=2x-16$$

Divide both sides by -x.

$$\frac{\left(-x\right)x_{2}}{-x}=\frac{2x-16}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$x_{2}=\frac{2x-16}{-x}$$

Divide -16+2x by -x.

$$x_{2}=-2+\frac{16}{x}$$