Solve X-(x-3500)*3%=4470

$$X - ( x - 3500 ) \times 3 \% = 4470$$

Solve for X

$$X=\frac{3\left(x+145500\right)}{100}$$

Solution Steps

Use the distributive property to multiply x-3500 by \frac{3}{100}.

$$X-\left(\frac{3}{100}x-105\right)=4470$$

To find the opposite of \frac{3}{100}x-105, find the opposite of each term.

$$X-\frac{3}{100}x+105=4470$$

Add \frac{3}{100}x to both sides.

$$X+105=4470+\frac{3}{100}x$$

Subtract 105 from both sides.

$$X=4470+\frac{3}{100}x-105$$

Subtract 105 from 4470 to get 4365.

$$X=4365+\frac{3}{100}x$$

Solve for x

$$x=\frac{100\left(X-4365\right)}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-3500 by \frac{3}{100}.

$$X-\left(\frac{3}{100}x-105\right)=4470$$

To find the opposite of \frac{3}{100}x-105, find the opposite of each term.

$$X-\frac{3}{100}x+105=4470$$

Subtract X from both sides.

$$-\frac{3}{100}x+105=4470-X$$

Subtract 105 from both sides.

$$-\frac{3}{100}x=4470-X-105$$

Subtract 105 from 4470 to get 4365.

$$-\frac{3}{100}x=4365-X$$

Divide both sides of the equation by -\frac{3}{100}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{3}{100}x}{-\frac{3}{100}}=\frac{4365-X}{-\frac{3}{100}}$$

Dividing by -\frac{3}{100} undoes the multiplication by -\frac{3}{100}.

$$x=\frac{4365-X}{-\frac{3}{100}}$$

Divide 4365-X by -\frac{3}{100} by multiplying 4365-X by the reciprocal of -\frac{3}{100}.

$$x=\frac{100X}{3}-145500$$