Solve 7x-26>-5(2-3x)

$$7 x - 26 > - 5 ( 2 - 3 x )$$

Solve for x

$$x<-2$$

Solution Steps

Use the distributive property to multiply -5 by 2-3x.

$$7x-26>-10+15x$$

Subtract 15x from both sides.

$$7x-26-15x>-10$$

Combine 7x and -15x to get -8x.

$$-8x-26>-10$$

Add 26 to both sides.

$$-8x>-10+26$$

Add -10 and 26 to get 16.

$$-8x>16$$

Divide both sides by -8. Since -8 is negative, the inequality direction is changed.

$$x<\frac{16}{-8}$$

Divide 16 by -8 to get -2.

$$x<-2$$