Answer:
=21
Step-by-step explanation:
Step 1-Combine multiplied terms into a single fraction
23(+3)=53⋅−19
\frac{2}{3}(a+3)=\frac{5}{3} \cdot a-1932(a+3)=35⋅a−19
2(+3)3=53⋅−19
Step 2-Distribute
2(+3)3=53⋅−19
\frac{{\color{#c92786}{2(a+3)}}}{3}=\frac{5}{3} \cdot a-1932(a+3)=35⋅a−19
2+63=53⋅−19
Step 3-Combine multiplied terms into a single fraction
2+63=53−19
\frac{2a+6}{3}=\frac{5}{3}a-1932a+6=35a−19
2+63=53−19
Step 4-Multiply all terms by the same value to eliminate fraction denominators
2+63=53−19
\frac{2a+6}{3}=\frac{5a}{3}-1932a+6=35a−19
3(2+63)=3(53−19)
Step 5-Simplify
Cancel multiplied terms that are in the denominator
Distribute
Cancel multiplied terms that are in the denominator
2+6=5−57
Step 6-2+6=5−57
2a+6=5a-572a+6=5a−57
2+6−6=5−57−6
Step 6-Subtract
6
66
from both sides of the equation
2+6=5−57
2a+6=5a-572a+6=5a−57
2+6−6=5−57−6
2a+6{\color{#c92786}{-6}}=5a-57{\color{#c92786}{-6}}2a+6−6=5a−57−6
Step 7-Simplify
Subtract the numbers
Subtract the numbers
again
2=5−63
Step 8-Subtract
5
5a5a
from both sides of the equation
2=5−63
2a=5a-632a=5a−63
2−5=5−63−5
Step 9-Simplify
Combine like terms
Combine like terms
again
−3=−63
-3a=-63−3a=−63
Step 10-Divide both sides of the equation by the same term
−3=−63
-3a=-63−3a=−63
−3−3=−63−3
Step 11- Cancel terms that are in both the numerator and denominator
Divide the numbers
=21
Hope this helps :)
