### 8/11=3/2x

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

You are watching: Simplify 8(3 - 2x)

## Step by step Solution

### Rearrange:

Rearrange the equation by subtracting what is come the appropriate of the equal authorize from both sides of the equation : 8/11-(3/2*x)=0

## Step 1 :

3 leveling — 2Equation at the end of step 1 : 8 3 —— - (— • x) = 0 11 2

## Step 2 :

8 leveling —— 11Equation at the end of step 2 : 8 3x —— - —— = 0 11 2

## Step 3 :

Calculating the Least typical Multiple :3.1 discover the Least common Multiple The left denominator is : 11 The right denominator is : 2

Number the times each prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
11101
2011
Product of allPrime Factors11222

Least typical Multiple: 22

Calculating multiplier :

3.2 calculation multipliers because that the 2 fractions denote the Least typical Multiple by L.C.M represent the Left Multiplier by Left_M signify the best Multiplier by Right_M represent the Left Deniminator by L_Deno represent the right Multiplier by R_DenoLeft_M=L.C.M/L_Deno=2Right_M=L.C.M/R_Deno=11

Making identical Fractions :

3.3 Rewrite the two fractions into tantamount fractionsTwo fountain are called equivalent if they have actually the same numeric value. For instance : 1/2 and also 2/4 space equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are tantamount as well. To calculate equivalent fraction , main point the numerator of every fraction, by its respective Multiplier.

L. Mult. • L. Num. 8 • 2 —————————————————— = ————— L.C.M 22 R. Mult. • R.

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Num. 3x • 11 —————————————————— = ——————— L.C.M 22 adding fractions that have actually a usual denominator :3.4 including up the two indistinguishable fractions add the two tantamount fractions i beg your pardon now have a usual denominatorCombine the numerators together, put the sum or distinction over the usual denominator then minimize to lowest terms if possible:

8 • 2 - (3x • 11) 16 - 33x ————————————————— = ———————— 22 22 Equation in ~ the finish of step 3 : 16 - 33x ———————— = 0 22

## Step 4 :

When a portion equals zero :4.1 when a fraction equals zero ...Where a portion equals zero, that 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 by the denominator.Here"s how:

16-33x —————— • 22 = 0 • 22 22 Now, top top the left hand side, the 22 cancels out the denominator, while, ~ above the best hand side, zero times anything is tho zero.The equation now takes the shape:16-33x=0

Solving a single Variable Equation:4.2Solve:-33x+16 = 0Subtract 16 from both political parties of the equation:-33x = -16 multiply both political parties of the equation through (-1) : 33x = 16 divide both sides of the equation by 33:x = 16/33 = 0.485