Solve 5/4x+2=36

$$\frac{ 5 }{ 4x+2 } =36$$

Solve for x

$$x=-\frac{67}{144}\approx -0.465277778$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2\left(2x+1\right).

$$5=72\left(2x+1\right)$$

Use the distributive property to multiply 72 by 2x+1.

$$5=144x+72$$

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

$$144x+72=5$$

Subtract 72 from both sides.

$$144x=5-72$$

Subtract 72 from 5 to get -67.

$$144x=-67$$

Divide both sides by 144.

$$x=\frac{-67}{144}$$

Fraction \frac{-67}{144} can be rewritten as -\frac{67}{144} by extracting the negative sign.

$$x=-\frac{67}{144}$$