Solve 120x1.6+(x-120)*4.8=1531

$$120 x 1.6 + ( x - 120 ) \times 4.8 = 1531$$

Solve for x

$$x=\frac{10535}{24}-15x_{1}$$

Steps for Solving Linear Equation

Multiply 120 and 0.6 to get 72.

$$72x_{1}+\left(x-120\right)\times 4.8=1531$$

Use the distributive property to multiply x-120 by 4.8.

$$72x_{1}+4.8x-576=1531$$

Subtract 72x_{1} from both sides.

$$4.8x-576=1531-72x_{1}$$

Add 576 to both sides.

$$4.8x=1531-72x_{1}+576$$

Add 1531 and 576 to get 2107.

$$4.8x=2107-72x_{1}$$

Divide both sides of the equation by 4.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{4.8x}{4.8}=\frac{2107-72x_{1}}{4.8}$$

Dividing by 4.8 undoes the multiplication by 4.8.

$$x=\frac{2107-72x_{1}}{4.8}$$

Divide 2107-72x_{1} by 4.8 by multiplying 2107-72x_{1} by the reciprocal of 4.8.

$$x=\frac{10535}{24}-15x_{1}$$

Solve for x_1

$$x_{1}=-\frac{x}{15}+\frac{2107}{72}$$

Steps for Solving Linear Equation

Multiply 120 and 0.6 to get 72.

$$72x_{1}+\left(x-120\right)\times 4.8=1531$$

Use the distributive property to multiply x-120 by 4.8.

$$72x_{1}+4.8x-576=1531$$

Subtract 4.8x from both sides.

$$72x_{1}-576=1531-4.8x$$

Add 576 to both sides.

$$72x_{1}=1531-4.8x+576$$

Add 1531 and 576 to get 2107.

$$72x_{1}=2107-4.8x$$

The equation is in standard form.

$$72x_{1}=-\frac{24x}{5}+2107$$

Divide both sides by 72.

$$\frac{72x_{1}}{72}=\frac{-\frac{24x}{5}+2107}{72}$$

Dividing by 72 undoes the multiplication by 72.

$$x_{1}=\frac{-\frac{24x}{5}+2107}{72}$$

Divide 2107-\frac{24x}{5} by 72.

$$x_{1}=-\frac{x}{15}+\frac{2107}{72}$$