Question

Solve −2(x+7)+3=1
(1 point)
The solution is x=

Answer 1

To solve the equation \(-2(x+7) + 3 = 1\), follow these steps:

1. Distribute \(-2\) to both \(x\) and \(7\):
\[
-2x - 14 + 3 = 1
\]

2. Combine like terms (\(-14 + 3\)):
\[
-2x - 11 = 1
\]

3. Add \(11\) to both sides to isolate the term with \(x\):
\[
-2x = 1 + 11
\]
\[
-2x = 12
\]

4. Divide both sides by \(-2\) to solve for \(x\):
\[
x = \frac{12}{-2}
\]
\[
x = -6
\]

So, the solution is \(x = -6\).