3(c – 2) = 2(c – 6)
2
−6
no solution
identity
The equation can be simplified as follows:
3c – 6 = 2c – 12
Subtracting 2c from both sides:
c – 6 = -12
Adding 6 to both sides:
c = -12 + 6
c = -6
Therefore, the solution to the equation is c = -6.
To solve the equation 3(c – 2) = 2(c – 6), we will simplify the equation step-by-step.
Step 1: Distribute the numbers outside the parentheses to the terms inside.
3(c – 2) = 2(c – 6) becomes 3c – 6 = 2c – 12.
Step 2: Combine like terms on each side of the equation.
On the left side, we have 3c – 6. On the right side, we have 2c – 12.
Step 3: Isolate the variable by moving all terms containing c to one side of the equation.
To do this, we can subtract 2c from both sides.
3c – 6 - 2c = 2c – 12 - 2c simplifies to c - 6 = -12.
Step 4: Simplify the equation further.
Add 6 to both sides to isolate the variable c.
c - 6 + 6 = -12 + 6 simplifies to c = -6.
Therefore, the solution to the equation 3(c – 2) = 2(c – 6) is c = -6.