Solve 14x+3+6x=6x+23x12

$$14 x + 3 + 6 x = 6 x + 23 x 12$$

Solve for x

$$x=\frac{23x_{12}-3}{14}$$

Steps for Solving Linear Equation

Combine 14x and 6x to get 20x.

$$20x+3=6x+23x_{12}$$

Subtract 6x from both sides.

$$20x+3-6x=23x_{12}$$

Combine 20x and -6x to get 14x.

$$14x+3=23x_{12}$$

Subtract 3 from both sides.

$$14x=23x_{12}-3$$

Divide both sides by 14.

$$\frac{14x}{14}=\frac{23x_{12}-3}{14}$$

Dividing by 14 undoes the multiplication by 14.

$$x=\frac{23x_{12}-3}{14}$$

Solve for x_12

$$x_{12}=\frac{14x+3}{23}$$

Steps for Solving Linear Equation

Combine 14x and 6x to get 20x.

$$20x+3=6x+23x_{12}$$

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

$$6x+23x_{12}=20x+3$$

Subtract 6x from both sides.

$$23x_{12}=20x+3-6x$$

Combine 20x and -6x to get 14x.

$$23x_{12}=14x+3$$

Divide both sides by 23.

$$\frac{23x_{12}}{23}=\frac{14x+3}{23}$$

Dividing by 23 undoes the multiplication by 23.

$$x_{12}=\frac{14x+3}{23}$$