Answer:
Step-by-step explanation:
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STEP
1
:
3
Simplify —
2
Equation at the end of step
1
:
3
(2x - (— • x)) - 12
2
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
2x 2x • 2
2x = —— = ——————
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 :
2.2 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:
2x • 2 - (3x) x
————————————— = —
2 2
Equation at the end of step
2
:
x
— - 12
2
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
12 12 • 2
12 = —— = ——��———
1 2
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
x - (12 • 2) x - 24
———————————— = ——————
2 2
Final result :
x - 24
——————
2
