Solve 1-(5x+5)>2(x-5)

$$1 - ( 5 x + 5 ) > 2 ( x - 5 )$$

Solve for x

$$x<\frac{6}{7}$$

Solution Steps

To find the opposite of 5x+5, find the opposite of each term.

$$1-5x-5>2\left(x-5\right)$$

Subtract 5 from 1 to get -4.

$$-4-5x>2\left(x-5\right)$$

Use the distributive property to multiply 2 by x-5.

$$-4-5x>2x-10$$

Subtract 2x from both sides.

$$-4-5x-2x>-10$$

Combine -5x and -2x to get -7x.

$$-4-7x>-10$$

Add 4 to both sides.

$$-7x>-10+4$$

Add -10 and 4 to get -6.

$$-7x>-6$$

Divide both sides by -7. Since -7 is negative, the inequality direction is changed.

$$x<\frac{-6}{-7}$$

Fraction \frac{-6}{-7} can be simplified to \frac{6}{7} by removing the negative sign from both the numerator and the denominator.

$$x<\frac{6}{7}$$