3 (x+ 4) = 3x -2

1 answer

To solve the equation 3(x+4) = 3x -2, we will use the distributive property.

Start by distributing the 3 to both terms inside the parentheses:

3 * x = 3x
3 * 4 = 12

The equation now becomes:

3x + 12 = 3x - 2

Next, we want to isolate the variable terms on one side of the equation. Subtract 3x from both sides:

3x - 3x + 12 = 3x - 3x - 2

Simplifying further:

12 = -2

This is a contradiction. There is no value of x that will make the equation true.

Therefore, the equation 3(x + 4) = 3x - 2 has no solution.