Answer: u= -3
Here is my step-by-step work:
5(u+3)=8u+24
5u+15=8u+24
5u-8u=24-15
-3u=-9
-3u/-3=9/-3
u=-3
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5(u+3)=8u+24
Multiply the bracket by 5
5u+15=8u+24
5u+15-15=8u+24-15
5u=8u+9
5u-8u=8u-8u+9
-3u=9
Divide by -3 for -3u and 9
-3u/3=9/-3
u=-3
Check answer by using substitution method
5(u+3)=8u+24
5(-3+3)=8(-3)+24
Multiplying the first bracket by 5
-15+15=-24+24
0=0
Answer is u=-3
