To solve for x in the equation \( x + x - 9 - x + 14 = 86 \), we need to combine like terms and then solve for x.
Combining like terms (the terms with x):
\( x + x - x = 1x \) (since \( 1x + 1x - 1x = 1x \))
Now our equation becomes:
\( 1x - 9 + 14 = 86 \)
Combine the constant terms:
\( -9 + 14 = 5 \)
Now the equation is:
\( x + 5 = 86 \)
To solve for x, we subtract 5 from both sides of the equation:
\( x = 86 - 5 \)
\( x = 81 \)
Therefore, the value of x that satisfies the equation is 81.
