Solve 5/x=1/2+3/4

$$\frac{ 5 }{ x } = \frac{ 1 }{ 2 } + \frac{ 3 }{ 4 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of x,2,4.

$$4\times 5=4x\times \frac{1}{2}+4x\times \frac{3}{4}$$

Multiply 4 and 5 to get 20.

$$20=4x\times \frac{1}{2}+4x\times \frac{3}{4}$$

Multiply 4 and \frac{1}{2} to get \frac{4}{2}.

$$20=\frac{4}{2}x+4x\times \frac{3}{4}$$

Divide 4 by 2 to get 2.

$$20=2x+4x\times \frac{3}{4}$$

Cancel out 4 and 4.

$$20=2x+3x$$

Combine 2x and 3x to get 5x.

$$20=5x$$

Swap sides so that all variable terms are on the left hand side.

$$5x=20$$

Divide both sides by 5.

$$x=\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$x=4$$