Answer:
the answer is 3x
Step-by-step explanation:
Step by Step Solution:
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STEP
1
:
1
Simplify —
2
Equation at the end of step
1
:
3 1
(x + (— • x)) + (— • x)
2 2
STEP
2
:
3
Simplify —
2
Equation at the end of step
2
:
3 x
(x + (— • x)) + —
2 2
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 2 as the denominator :
x x • 2
x = — = —————
1 2
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 :
3.2 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 • 2 + 3x 5x
—————————— = ——
2 2
Equation at the end of step
3
:
5x x
—— + —
2 2
STEP
4
:
Adding fractions which have a common denominator
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5x + x 6x
—————— = ——
2 2
Reducing to Lowest Terms :
4.2 The above result can still be reduced :
6x
—— = 3x
2
Final result :
3x
