Solve 95+(x-1000)*0.25>138+(x-1000)*0.2

$$95 + ( x - 1000 ) \times 0.25 > 138 + ( x - 1000 ) \times 0.2$$

Solve for x

$$x>1860$$

Solution Steps

Use the distributive property to multiply x-1000 by 0.25.

$$95+0.25x-250>138+\left(x-1000\right)\times 0.2$$

Subtract 250 from 95 to get -155.

$$-155+0.25x>138+\left(x-1000\right)\times 0.2$$

Use the distributive property to multiply x-1000 by 0.2.

$$-155+0.25x>138+0.2x-200$$

Subtract 200 from 138 to get -62.

$$-155+0.25x>-62+0.2x$$

Subtract 0.2x from both sides.

$$-155+0.25x-0.2x>-62$$

Combine 0.25x and -0.2x to get 0.05x.

$$-155+0.05x>-62$$

Add 155 to both sides.

$$0.05x>-62+155$$

Add -62 and 155 to get 93.

$$0.05x>93$$

Divide both sides by 0.05. Since 0.05 is positive, the inequality direction remains the same.

$$x>\frac{93}{0.05}$$

Expand \frac{93}{0.05} by multiplying both numerator and the denominator by 100.

$$x>\frac{9300}{5}$$

Divide 9300 by 5 to get 1860.

$$x>1860$$