Question

Solve.
12 x plus 11 equals 5 x minus 3
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Part 1
xequals
  
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​(Simplify your answer. Type an integer or a​ fraction.)

Answer 1

To solve the equation \( 12x + 11 = 5x - 3 \), we will first isolate the variable \( x \).

1. Subtract \( 5x \) from both sides:
\[
12x - 5x + 11 = -3
\]
This simplifies to:
\[
7x + 11 = -3
\]

2. Next, subtract \( 11 \) from both sides:
\[
7x = -3 - 11
\]
This gives:
\[
7x = -14
\]

3. Finally, divide both sides by \( 7 \):
\[
x = \frac{-14}{7}
\]
This simplifies to:
\[
x = -2
\]

So, the solution is:
\[
\boxed{-2}
\]