Solve 28.8*9.8-28.8*0.198x=7.82X/0.198

$$28.8 \times 9.8 - 28.8 \times 0.198 x = \frac { 7.82 X } { 0.198 }$$

Solve for X

$$X=-\frac{176418x}{1221875}+\frac{349272}{48875}$$

Steps for Solving Linear Equation

Multiply 28.8 and 9.8 to get 282.24.

$$282.24-28.8\times 0.198x=\frac{7.82X}{0.198}$$

Multiply 28.8 and 0.198 to get 5.7024.

$$282.24-5.7024x=\frac{7.82X}{0.198}$$

Divide 7.82X by 0.198 to get \frac{3910}{99}X.

$$282.24-5.7024x=\frac{3910}{99}X$$

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

$$\frac{3910}{99}X=282.24-5.7024x$$

The equation is in standard form.

$$\frac{3910}{99}X=-\frac{3564x}{625}+282.24$$

Divide both sides of the equation by \frac{3910}{99}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3910}{99}X}{\frac{3910}{99}}=\frac{-\frac{3564x}{625}+282.24}{\frac{3910}{99}}$$

Dividing by \frac{3910}{99} undoes the multiplication by \frac{3910}{99}.

$$X=\frac{-\frac{3564x}{625}+282.24}{\frac{3910}{99}}$$

Divide 282.24-\frac{3564x}{625} by \frac{3910}{99} by multiplying 282.24-\frac{3564x}{625} by the reciprocal of \frac{3910}{99}.

$$X=-\frac{176418x}{1221875}+\frac{349272}{48875}$$

Solve for x

$$x=-\frac{1221875X}{176418}+\frac{4900}{99}$$

Steps for Solving Linear Equation

Multiply 28.8 and 9.8 to get 282.24.

$$282.24-28.8\times 0.198x=\frac{7.82X}{0.198}$$

Multiply 28.8 and 0.198 to get 5.7024.

$$282.24-5.7024x=\frac{7.82X}{0.198}$$

Divide 7.82X by 0.198 to get \frac{3910}{99}X.

$$282.24-5.7024x=\frac{3910}{99}X$$

Subtract 282.24 from both sides.

$$-5.7024x=\frac{3910}{99}X-282.24$$

The equation is in standard form.

$$-5.7024x=\frac{3910X}{99}-282.24$$

Divide both sides of the equation by -5.7024, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-5.7024x}{-5.7024}=\frac{\frac{3910X}{99}-282.24}{-5.7024}$$

Dividing by -5.7024 undoes the multiplication by -5.7024.

$$x=\frac{\frac{3910X}{99}-282.24}{-5.7024}$$

Divide \frac{3910X}{99}-282.24 by -5.7024 by multiplying \frac{3910X}{99}-282.24 by the reciprocal of -5.7024.

$$x=-\frac{1221875X}{176418}+\frac{4900}{99}$$