-2/3(a+3)=5/3a-19
I don’t understand this

=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 :)

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5