Solve 1390=.03(x-7000)+.05x

$$1390 = .03 ( x - 7000 ) + .05 x$$

Solve for x

$$x=20000$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.03 by x-7000.

$$1390=0.03x-210+0.05x$$

Combine 0.03x and 0.05x to get 0.08x.

$$1390=0.08x-210$$

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

$$0.08x-210=1390$$

Add 210 to both sides.

$$0.08x=1390+210$$

Add 1390 and 210 to get 1600.

$$0.08x=1600$$

Divide both sides by 0.08.

$$x=\frac{1600}{0.08}$$

Expand \frac{1600}{0.08} by multiplying both numerator and the denominator by 100.

$$x=\frac{160000}{8}$$

Divide 160000 by 8 to get 20000.

$$x=20000$$