Solve (-6x+7y-12)+(-8x-12y+14)=14x

$$( - 6 x + 7 y - 12 ) + ( - 8 x - 12 y + 14 ) = 14 x$$

Solve for x

$$x=-\frac{5y}{28}+\frac{1}{14}$$

Steps for Solving Linear Equation

Combine -6x and -8x to get -14x.

$$-14x+7y-12-12y+14=14x$$

Combine 7y and -12y to get -5y.

$$-14x-5y-12+14=14x$$

Add -12 and 14 to get 2.

$$-14x-5y+2=14x$$

Subtract 14x from both sides.

$$-14x-5y+2-14x=0$$

Combine -14x and -14x to get -28x.

$$-28x-5y+2=0$$

Add 5y to both sides. Anything plus zero gives itself.

$$-28x+2=5y$$

Subtract 2 from both sides.

$$-28x=5y-2$$

Divide both sides by -28.

$$\frac{-28x}{-28}=\frac{5y-2}{-28}$$

Dividing by -28 undoes the multiplication by -28.

$$x=\frac{5y-2}{-28}$$

Divide 5y-2 by -28.

$$x=-\frac{5y}{28}+\frac{1}{14}$$

Solve for y

$$y=\frac{2-28x}{5}$$

Steps for Solving Linear Equation

Combine -6x and -8x to get -14x.

$$-14x+7y-12-12y+14=14x$$

Combine 7y and -12y to get -5y.

$$-14x-5y-12+14=14x$$

Add -12 and 14 to get 2.

$$-14x-5y+2=14x$$

Add 14x to both sides.

$$-5y+2=14x+14x$$

Combine 14x and 14x to get 28x.

$$-5y+2=28x$$

Subtract 2 from both sides.

$$-5y=28x-2$$

Divide both sides by -5.

$$\frac{-5y}{-5}=\frac{28x-2}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$y=\frac{28x-2}{-5}$$

Divide 28x-2 by -5.

$$y=\frac{2-28x}{5}$$