Solve 45+x=0.2*(900+x)

$$45+x=0.2 \times (900+x)$$

Solve for x

$$x=168.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.2 by 900+x.

$$45+x=180+0.2x$$

Subtract 0.2x from both sides.

$$45+x-0.2x=180$$

Combine x and -0.2x to get 0.8x.

$$45+0.8x=180$$

Subtract 45 from both sides.

$$0.8x=180-45$$

Subtract 45 from 180 to get 135.

$$0.8x=135$$

Divide both sides by 0.8.

$$x=\frac{135}{0.8}$$

Expand \frac{135}{0.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{1350}{8}$$

Reduce the fraction \frac{1350}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{675}{4}$$