Question

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)?

Answer 1

c =1/2

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