### 1/3x-2/3=4

This faces adding, subtracting and finding the least usual multiple.

## Step by action Solution

### Rearrange:

Rearrange the equation by subtracting what is to the right of the equal authorize from both sides of the equation : 1/3*x-2/3-(4)=0

## Step 1 :

2 simplify — 3Equation in ~ the end of step 1 : 1 2 ((— • x) - —) - 4 = 0 3 3

## Step 2 :

1 simplify — 3Equation at the end of action 2 : 1 2 ((— • x) - —) - 4 = 0 3 3

## Step 3 :

Adding fractions which have actually a common denominator :3.1 adding fractions which have actually a typical denominatorCombine the numerators together, placed the amount or difference over the usual denominator then alleviate to lowest terms if possible:

x - (2) x - 2 ——————— = ————— 3 3 Equation at the end of step 3 : (x - 2) ——————— - 4 = 0 3

## Step 4 :

Rewriting the entirety as an Equivalent fraction :4.1Subtracting a totality from a fraction Rewrite the whole as a fraction using 3 together the denominator :

4 4 • 3 4 = — = ————— 1 3 Equivalent portion : The portion thus produced looks different but has the very same value as the whole typical denominator : The equivalent portion and the other fraction involved in the calculation re-publishing the very same denominator

Adding fractions that have a usual denominator :

4.2 including up the two indistinguishable fractions include the two indistinguishable fractions i beg your pardon now have actually a common denominatorCombine the numerators together, placed the sum or difference over the common denominator then minimize to lowest terms if possible:

(x-2) - (4 • 3) x - 14 ——————————————— = —————— 3 3 Equation in ~ the finish of action 4 : x - 14 —————— = 0 3

## Step 5 :

When a portion equals zero :5.1 as soon as a fraction equals zero ...Where a fraction equals zero, its numerator, the part which is over the fraction line, should equal zero.Now,to eliminate the denominator, Tiger multiplys both political parties of the equation through the denominator.Here"s how:

x-14 ———— • 3 = 0 • 3 3 Now, ~ above the left hand side, the 3 cancels out the denominator, while, top top the best hand side, zero time anything is still zero.The equation now takes the shape:x-14=0

Solving a solitary Variable Equation:5.2Solve:x-14 = 0Add 14 to both political parties of the equation:x = 14