Let's solve each equation separately:
1) 8e - 14 = 6e + 4
First, we want to get all the "e" terms on one side of the equation. To do this, we subtract 6e from both sides:
8e - 6e - 14 = 4
Simplify:
2e - 14 = 4
Now, add 14 to both sides:
2e = 18
Finally, divide by 2 on both sides to solve for e:
e = 9
2) (c - 3) 12 = 20 - 4 (c + 2)
First, distribute the 12 on the left side of the equation:
12c - 36 = 20 - 4c - 8
Combine like terms on the right side:
12c - 36 = 12 - 4c
Now, add 4c to both sides:
16c - 36 = 12
Add 36 to both sides:
16c = 48
Finally, divide by 16 on both sides to solve for c:
c = 3
Therefore, the solutions to the equations are e = 9 and c = 3.
Let's solve each equation separately:
1) 8e - 14 = 6e + 4
First, we want to get all the "e" terms on one side of the equation. To do this, we subtract 6e from both sides:
8e - 6e - 14 = 4
Simplify:
2e - 14 = 4
Now, add 14 to both sides:
2e = 18
Finally, divide by 2 on both sides to solve for e:
e = 9
2) (c - 3) 12 = 20 - 4 (c + 2)
First, distribute the 12 on the left side of the equation:
12c - 36 = 20 - 4c - 8
Combine like terms on the right side:
12c - 36 = 12 - 4c
Now, add 4c to both sides:
16c - 36 = 12
Add 36 to both sides:
16c = 48
Finally, divide by 16 on both sides to solve for c:
c = 3
Therefore, the solutions to the equations are e = 9 and c = 3.