For what value of the variable is the value of the expression 2 (3-5c) is 1 less than the value of the expression 4 (1-c) ?

c = 1/2

Step-by-step explanation:

2 (3-5c) = 4 (1-c) - 1

Distribute

6 - 10c = 4 - 4c - 1

Combine like terms

6 - 10c = 3 - 4c

Add 10c to each side

6-10c+10c = 3 - 4c+10c

6 = 3+6c

Subtract 3 from each side

6-3 = 3-3+6c

3 = 6c

Divide by 6

3/6 = 6c/6

1/2 = c