Solve .05=.03(x)+.02(8000+x)

$$.05 = .03 ( x ) + .02 ( 8000 + x )$$

Solve for x

$$x=-3199$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.02 by 8000+x.

$$0.05=0.03x+160+0.02x$$

Combine 0.03x and 0.02x to get 0.05x.

$$0.05=0.05x+160$$

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

$$0.05x+160=0.05$$

Subtract 160 from both sides.

$$0.05x=0.05-160$$

Subtract 160 from 0.05 to get -159.95.

$$0.05x=-159.95$$

Divide both sides by 0.05.

$$x=\frac{-159.95}{0.05}$$

Expand \frac{-159.95}{0.05} by multiplying both numerator and the denominator by 100.

$$x=\frac{-15995}{5}$$

Divide -15995 by 5 to get -3199.

$$x=-3199$$