3(x-1/3)=2(2x-6) step by step solution
Answers
Answer:Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-1/3)-(2*(2*x-6))=0
Pulling out like terms
Pull out like factors :
2x - 6 = 2 • (x - 3)
1
(3 • (x - —)) - 4 • (x - 3) = 0
3
1
Simplify —
3
1
(3 • (x - —)) - 4 • (x - 3) = 0
3
Rewriting the whole as an Equivalent Fraction
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
x x • 3
x = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • 3 - (1) 3x - 1
——————————— = ——————
3 3
(3x - 1)
(3 • ————————) - 4 • (x - 3) = 0
3
Equation at the end of step 5
(3x - 1) - 4 • (x - 3) = 0
Equation at the end of step 6
11 - x = 0
Solving a Single Variable Equation
Solve : -x+11 = 0
Subtract 11 from both sides of the equation :
-x = -11
Multiply both sides of the equation by (-1) : x = 11
x = 11
Step-by-step explanation: