Solve 120x16+(x-120)*48=1531

$$120 x 16 + ( x - 120 ) \times 48 = 1531$$

Solve for x

$$x=-\frac{5x_{16}}{2}+\frac{7291}{48}$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-120 by 48.

$$120x_{16}+48x-5760=1531$$

Subtract 120x_{16} from both sides.

$$48x-5760=1531-120x_{16}$$

Add 5760 to both sides.

$$48x=1531-120x_{16}+5760$$

Add 1531 and 5760 to get 7291.

$$48x=7291-120x_{16}$$

Divide both sides by 48.

$$\frac{48x}{48}=\frac{7291-120x_{16}}{48}$$

Dividing by 48 undoes the multiplication by 48.

$$x=\frac{7291-120x_{16}}{48}$$

Divide 7291-120x_{16} by 48.

$$x=-\frac{5x_{16}}{2}+\frac{7291}{48}$$

Solve for x_16

$$x_{16}=-\frac{2x}{5}+\frac{7291}{120}$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-120 by 48.

$$120x_{16}+48x-5760=1531$$

Subtract 48x from both sides.

$$120x_{16}-5760=1531-48x$$

Add 5760 to both sides.

$$120x_{16}=1531-48x+5760$$

Add 1531 and 5760 to get 7291.

$$120x_{16}=7291-48x$$

Divide both sides by 120.

$$\frac{120x_{16}}{120}=\frac{7291-48x}{120}$$

Dividing by 120 undoes the multiplication by 120.

$$x_{16}=\frac{7291-48x}{120}$$

Divide 7291-48x by 120.

$$x_{16}=-\frac{2x}{5}+\frac{7291}{120}$$