Solve 2(5-4x)<5x+3

$$2 ( 5 - 4 x ) < 5 x + 3$$

Solve for x

$$x>\frac{7}{13}$$

Solution Steps

Use the distributive property to multiply 2 by 5-4x.

$$10-8x<5x+3$$

Subtract 5x from both sides.

$$10-8x-5x<3$$

Combine -8x and -5x to get -13x.

$$10-13x<3$$

Subtract 10 from both sides.

$$-13x<3-10$$

Subtract 10 from 3 to get -7.

$$-13x<-7$$

Divide both sides by -13. Since -13 is negative, the inequality direction is changed.

$$x>\frac{-7}{-13}$$

Fraction \frac{-7}{-13} can be simplified to \frac{7}{13} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{7}{13}$$