Question

-3 (-5x+2) + x -3 = 39

Answer 1

To solve the equation \(-3 (-5x + 2) + x - 3 = 39\), let's first simplify the left-hand side step by step.

1. Distribute \(-3\) to terms inside the parentheses:
\[
-3 \times -5x + (-3) \times 2 = 15x - 6
\]
So, we can rewrite the equation as:
\[
15x - 6 + x - 3 = 39
\]

2. Combine like terms on the left side:
\[
15x + x - 6 - 3 = 39
\]
This simplifies to:
\[
16x - 9 = 39
\]

3. Now, isolate \(16x\) by adding \(9\) to both sides:
\[
16x - 9 + 9 = 39 + 9
\]
Which simplifies to:
\[
16x = 48
\]

4. Finally, solve for \(x\) by dividing both sides by \(16\):
\[
x = \frac{48}{16} = 3
\]

Thus, the solution is:
\[
\boxed{3}
\]