Solve 1/4x+1/6frac{1{4}x}=1/6

$$\frac{ 1 }{ 4x } + \frac{ 1 }{ 6 \frac{ 1 }{ 4 } x } = \frac{ 1 }{ 6 }$$

Solve for x

$$x = \frac{123}{50} = 2\frac{23}{50} = 2.46$$

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 12x, the least common multiple of 4x,6.

$$3+\frac{48}{25}=2x$$

Add 3 and \frac{48}{25} to get \frac{123}{25}.

$$\frac{123}{25}=2x$$

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

$$2x=\frac{123}{25}$$

Divide both sides by 2.

$$x=\frac{\frac{123}{25}}{2}$$

Express \frac{\frac{123}{25}}{2} as a single fraction.

$$x=\frac{123}{25\times 2}$$

Multiply 25 and 2 to get 50.

$$x=\frac{123}{50}$$