Solve 2x-4+6x<10x-7

$$2 x - 4 + 6 x < 10 x - 7$$

Solve for x

$$x>\frac{3}{2}$$

Solution Steps

Combine 2x and 6x to get 8x.

$$8x-4<10x-7$$

Subtract 10x from both sides.

$$8x-4-10x<-7$$

Combine 8x and -10x to get -2x.

$$-2x-4<-7$$

Add 4 to both sides.

$$-2x<-7+4$$

Add -7 and 4 to get -3.

$$-2x<-3$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x>\frac{-3}{-2}$$

Fraction \frac{-3}{-2} can be simplified to \frac{3}{2} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{3}{2}$$