Answer:
1362−271x/4
Explanation:
STEP 1 :
Equation at the end of step 1
(3/4 * (3x+6))-14*(5x-24)
STEP 2 :
Simplify 3/4
Equation at the end of step 2 :
3
(— • (3x + 6)) - 14 • (5x - 24)
4
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x + 6 = 3 • (x + 2)
Equation at the end of step
4
:
9 • (x + 2)
——————————— - 14 • (5x - 24)
4
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
14 • (5x - 24) 14 • (5x - 24) • 4
14 • (5x - 24) = —————————————— = ——————————————————
1 4
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 :
5.2 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:
9 • (x+2) - (14 • (5x-24) • 4) 1362 - 271x
—————————————————————————————— = ———————————
4 4
Final result :
1362 - 271x
———————————
4