Solve 0.09x+0.1(x+200)>7=

$$0.09 x + 0.1 ( x + 200 ) > 7 =$$

Solve for x

$$x>-\frac{1300}{19}$$

Solution Steps

Use the distributive property to multiply 0.1 by x+200.

$$0.09x+0.1x+20>7$$

Combine 0.09x and 0.1x to get 0.19x.

$$0.19x+20>7$$

Subtract 20 from both sides.

$$0.19x>7-20$$

Subtract 20 from 7 to get -13.

$$0.19x>-13$$

Divide both sides by 0.19. Since 0.19 is positive, the inequality direction remains the same.

$$x>\frac{-13}{0.19}$$

Expand \frac{-13}{0.19} by multiplying both numerator and the denominator by 100.

$$x>\frac{-1300}{19}$$

Fraction \frac{-1300}{19} can be rewritten as -\frac{1300}{19} by extracting the negative sign.

$$x>-\frac{1300}{19}$$