Question

3(-5+c)-2(c-4)=2-7(c-1)

Answer 1

-15 + 3с - 2с + 8 = 2 - 7с + 7
8с = 16
с = 2

Answer 2

Let's solve the given equation step by step:

3(-5 + c) - 2(c - 4) = 2 - 7(c - 1)

Step 1: Distribute the numbers outside the parentheses:

-15 + 3c - 2c + 8 = 2 - 7c + 7

Step 2: Combine like terms:

(3c - 2c) becomes just c (-15 + 8) becomes -7 (2 + 7) becomes 9

So the equation becomes:

c - 7 = 9 - 7c

Step 3: Move all the terms containing 'c' to one side of the equation and the constant terms to the other side:

c + 7c = 9 + 7

Step 4: Combine like terms:

8c = 16

Step 5: Solve for 'c' by dividing both sides by 8:

c = 16 / 8

Step 6: Simplify:

c = 2

So the solution to the equation is c = 2.