3(c – 2) = 2(c – 6)
To solve this equation, we can distribute the values on both sides:
3(c - 2) = 2(c - 6)
3c - 6 = 2c - 12
Now, we can simplify by combining like terms:
3c - 2c = -12 + 6
c = -6
To solve the equation 3(c - 2) = 2(c - 6), we will follow these steps:
Step 1: Distribute the terms
Multiply 3 by each term inside the parentheses:
3(c - 2) = 2(c - 6)
3c - 6 = 2c - 12
Step 2: Simplify the equation
Move all the variables to one side of the equation by subtracting 2c from both sides:
3c - 2c - 6 = 2c - 2c - 12
c - 6 = -12
Step 3: Isolate the variable
Add 6 to both sides of the equation to isolate the variable, c:
c - 6 + 6 = -12 + 6
c = -6
Therefore, the solution to the equation 3(c - 2) = 2(c - 6) is c = -6.