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4x + 2(x - 3) = 6x - 6 find the value of x

a. x = 0
b. x = 6
c. infinite solutions
d. no solution

1 answer

To solve the equation \( 4x + 2(x - 3) = 6x - 6 \), we start by simplifying both sides.

  1. Distribute \( 2 \) in the expression \( 2(x - 3) \): \[ 4x + 2x - 6 = 6x - 6 \]

  2. Combine like terms on the left side: \[ 6x - 6 = 6x - 6 \]

  3. Now, we see we have: \[ 6x - 6 = 6x - 6 \]

This equation is true for all values of \( x \). Thus, we have infinite solutions.

The answer is c. infinite solutions.