Solve 0.2=4/14x-2

$$0.2= \frac{ 4 }{ 14x-2 }$$

Solve for x

$$x = \frac{11}{7} = 1\frac{4}{7} \approx 1.571428571$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{1}{7} since division by zero is not defined. Multiply both sides of the equation by 2\left(7x-1\right).

$$0.4\left(7x-1\right)=4$$

Use the distributive property to multiply 0.4 by 7x-1.

$$2.8x-0.4=4$$

Add 0.4 to both sides.

$$2.8x=4+0.4$$

Add 4 and 0.4 to get 4.4.

$$2.8x=4.4$$

Divide both sides by 2.8.

$$x=\frac{4.4}{2.8}$$

Expand \frac{4.4}{2.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{44}{28}$$

Reduce the fraction \frac{44}{28} to lowest terms by extracting and canceling out 4.

$$x=\frac{11}{7}$$