Solve 5000+2x=(x+1480)*2.1

$$5000+2x=(x+1480) \times 2.1$$

Solve for x

$$x=18920$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+1480 by 2.1.

$$5000+2x=2.1x+3108$$

Subtract 2.1x from both sides.

$$5000+2x-2.1x=3108$$

Combine 2x and -2.1x to get -0.1x.

$$5000-0.1x=3108$$

Subtract 5000 from both sides.

$$-0.1x=3108-5000$$

Subtract 5000 from 3108 to get -1892.

$$-0.1x=-1892$$

Divide both sides by -0.1.

$$x=\frac{-1892}{-0.1}$$

Expand \frac{-1892}{-0.1} by multiplying both numerator and the denominator by 10.

$$x=\frac{-18920}{-1}$$

Fraction \frac{-18920}{-1} can be simplified to 18920 by removing the negative sign from both the numerator and the denominator.

$$x=18920$$