Solve 7<6+7(2-7x)

$$7 < 6 + 7 ( 2 - 7 x )$$

Solve for x

$$x<\frac{13}{49}$$

Solution Steps

Use the distributive property to multiply 7 by 2-7x.

$$7<6+14-49x$$

Add 6 and 14 to get 20.

$$7<20-49x$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$20-49x>7$$

Subtract 20 from both sides.

$$-49x>7-20$$

Subtract 20 from 7 to get -13.

$$-49x>-13$$

Divide both sides by -49. Since -49 is negative, the inequality direction is changed.

$$x<\frac{-13}{-49}$$

Fraction \frac{-13}{-49} can be simplified to \frac{13}{49} by removing the negative sign from both the numerator and the denominator.

$$x<\frac{13}{49}$$