Solve 14-12X+39x-18x=256-60x-657x

$$14 - 12 X + 39 x - 18 x = 256 - 60 x - 657 x$$

Solve for X

$$X=\frac{123x}{2}-\frac{121}{6}$$

Steps for Solving Linear Equation

Combine 39x and -18x to get 21x.

$$14-12X+21x=256-60x-657x$$

Combine -60x and -657x to get -717x.

$$14-12X+21x=256-717x$$

Subtract 14 from both sides.

$$-12X+21x=256-717x-14$$

Subtract 14 from 256 to get 242.

$$-12X+21x=242-717x$$

Subtract 21x from both sides.

$$-12X=242-717x-21x$$

Combine -717x and -21x to get -738x.

$$-12X=242-738x$$

Divide both sides by -12.

$$\frac{-12X}{-12}=\frac{242-738x}{-12}$$

Dividing by -12 undoes the multiplication by -12.

$$X=\frac{242-738x}{-12}$$

Divide 242-738x by -12.

$$X=\frac{123x}{2}-\frac{121}{6}$$

Solve for x

$$x=\frac{2X}{123}+\frac{121}{369}$$

Steps for Solving Linear Equation

Combine 39x and -18x to get 21x.

$$14-12X+21x=256-60x-657x$$

Combine -60x and -657x to get -717x.

$$14-12X+21x=256-717x$$

Add 717x to both sides.

$$14-12X+21x+717x=256$$

Combine 21x and 717x to get 738x.

$$14-12X+738x=256$$

Subtract 14 from both sides.

$$-12X+738x=256-14$$

Subtract 14 from 256 to get 242.

$$-12X+738x=242$$

Add 12X to both sides.

$$738x=242+12X$$

The equation is in standard form.

$$738x=12X+242$$

Divide both sides by 738.

$$\frac{738x}{738}=\frac{12X+242}{738}$$

Dividing by 738 undoes the multiplication by 738.

$$x=\frac{12X+242}{738}$$

Divide 242+12X by 738.

$$x=\frac{2X}{123}+\frac{121}{369}$$