Solve 2x/3+3x/4+x/2=53/4

$$\frac { 2 x } { 3 } + \frac { 3 x } { 4 } + \frac { x } { 2 } = 5 \frac { 3 } { 4 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4,2.

$$4\times 2x+3\times 3x+6x=3\left(5\times 4+3\right)$$

Multiply 4 and 2 to get 8.

$$8x+3\times 3x+6x=3\left(5\times 4+3\right)$$

Multiply 3 and 3 to get 9.

$$8x+9x+6x=3\left(5\times 4+3\right)$$

Combine 8x and 9x to get 17x.

$$17x+6x=3\left(5\times 4+3\right)$$

Combine 17x and 6x to get 23x.

$$23x=3\left(5\times 4+3\right)$$

Multiply 5 and 4 to get 20.

$$23x=3\left(20+3\right)$$

Add 20 and 3 to get 23.

$$23x=3\times 23$$

Multiply 3 and 23 to get 69.

$$23x=69$$

Divide both sides by 23.

$$x=\frac{69}{23}$$

Divide 69 by 23 to get 3.

$$x=3$$