Solve 33/3-21/4+x=4

$$3 \frac { 3 } { 3 } - 2 \frac { 1 } { 4 } + x = 4$$

Solve for x

$$x = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(3\times 3+3\right)-3\left(2\times 4+1\right)+12x=48$$

Multiply 3 and 3 to get 9.

$$4\left(9+3\right)-3\left(2\times 4+1\right)+12x=48$$

Add 9 and 3 to get 12.

$$4\times 12-3\left(2\times 4+1\right)+12x=48$$

Multiply 4 and 12 to get 48.

$$48-3\left(2\times 4+1\right)+12x=48$$

Multiply 2 and 4 to get 8.

$$48-3\left(8+1\right)+12x=48$$

Add 8 and 1 to get 9.

$$48-3\times 9+12x=48$$

Multiply -3 and 9 to get -27.

$$48-27+12x=48$$

Subtract 27 from 48 to get 21.

$$21+12x=48$$

Subtract 21 from both sides.

$$12x=48-21$$

Subtract 21 from 48 to get 27.

$$12x=27$$

Divide both sides by 12.

$$x=\frac{27}{12}$$

Reduce the fraction \frac{27}{12} to lowest terms by extracting and canceling out 3.

$$x=\frac{9}{4}$$