Solve 25(x+2)>2(x-25)

$$25 ( x + 2 ) > 2 ( x - 25 )$$

Solve for x

$$x>-\frac{100}{23}$$

Solution Steps

Use the distributive property to multiply 25 by x+2.

$$25x+50>2\left(x-25\right)$$

Use the distributive property to multiply 2 by x-25.

$$25x+50>2x-50$$

Subtract 2x from both sides.

$$25x+50-2x>-50$$

Combine 25x and -2x to get 23x.

$$23x+50>-50$$

Subtract 50 from both sides.

$$23x>-50-50$$

Subtract 50 from -50 to get -100.

$$23x>-100$$

Divide both sides by 23. Since 23 is positive, the inequality direction remains the same.

$$x>-\frac{100}{23}$$