Answer
The solution is 4
Work Step by Step
3(5c-1)-2=13c+3 Apply the distributive property
3$\times$ 5c - 3$\times$1 -2=13c+3 Multiply
15c-3-2=13c+3 Simplify
15c-5=13c+3 Add 5 to both sides .
15c-5 +5=13c+3 +5 Simplify
15c=13c+8 Subtract 13c from both sides
15c-13c=13c+8 -13c
2c=8 Divide by 2 on both sides
c=4
The solution is 4
Check
3(5c-1)-2=13c+3 Replace c with 4
3(5$\times$4 -1)-2=13$\times$4 +3
3(20-1)-2=52+3
3$\times$19-2=55
57-2=55
55=55