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.
3 (x+ 4) = 3x -2
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