Solve 251/14x+1=125

$$25 \frac { 1 } { 14 x + 1 } = 125$$

Solve for x

$$x=-\frac{2}{35}\approx -0.057142857$$

Steps for Solving Linear Equation

Divide both sides by 25.

$$\frac{1}{14x+1}=\frac{125}{25}$$

Divide 125 by 25 to get 5.

$$\frac{1}{14x+1}=5$$

Variable x cannot be equal to -\frac{1}{14} since division by zero is not defined. Multiply both sides of the equation by 14x+1.

$$1=5\left(14x+1\right)$$

Use the distributive property to multiply 5 by 14x+1.

$$1=70x+5$$

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

$$70x+5=1$$

Subtract 5 from both sides.

$$70x=1-5$$

Subtract 5 from 1 to get -4.

$$70x=-4$$

Divide both sides by 70.

$$x=\frac{-4}{70}$$

Reduce the fraction \frac{-4}{70} to lowest terms by extracting and canceling out 2.

$$x=-\frac{2}{35}$$