Solve 7*3-x+3/4<x+1

$$7 \times 3 - \frac { x + 3 } { 4 } < x + 1$$

Solve for x

$$x>\frac{77}{5}$$

Solution Steps

Multiply both sides of the equation by 4. Since 4 is positive, the inequality direction remains the same.

$$28\times 3-\left(x+3\right)<4x+4$$

Multiply 28 and 3 to get 84.

$$84-\left(x+3\right)<4x+4$$

To find the opposite of x+3, find the opposite of each term.

$$84-x-3<4x+4$$

Subtract 3 from 84 to get 81.

$$81-x<4x+4$$

Subtract 4x from both sides.

$$81-x-4x<4$$

Combine -x and -4x to get -5x.

$$81-5x<4$$

Subtract 81 from both sides.

$$-5x<4-81$$

Subtract 81 from 4 to get -77.

$$-5x<-77$$

Divide both sides by -5. Since -5 is negative, the inequality direction is changed.

$$x>\frac{-77}{-5}$$

Fraction \frac{-77}{-5} can be simplified to \frac{77}{5} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{77}{5}$$