Solve 6x+25-1/9x=1.8-0.75x-1/3
Answers
Answer:
Step by Step Solution:
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Reformatting the input :
Changes made to your input should not affect the solution:
(1): "0.75" was replaced by "(75/100)". 2 more similar replacement(s)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x+25-1/9*x-((18/10)-(75/100)*x-1/3)=0
Step by step solution :
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
1 18 75 1
((6x+25)-(—•x))-((——-(———•x))-—) = 0
9 10 100 3
STEP
2
:
3
Simplify —
4
Equation at the end of step
2
:
1 18 3 1
((6x+25)-(—•x))-((——-(—•x))-—) = 0
9 10 4 3
STEP
3
:
9
Simplify —
5
Equation at the end of step
3
:
1 9 3x 1
((6x+25)-(—•x))-((—-——)-—) = 0
9 5 4 3
STEP
4
:
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 5
The right denominator is : 4
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
5 1 0 1
2 0 2 2
Product of all
Prime Factors 5 4 20
Least Common Multiple:
20
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 4
Right_M = L.C.M / R_Deno = 5
Making Equivalent Fractions :
4.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.