To solve the equation [tex]\(10x - (9x - 11) = 6x + 16\)[/tex], let's break it down step by step:
1. Distribute and combine like terms:
[tex]\[
10x - (9x - 11) = 6x + 16
\][/tex]
Simplify inside the parentheses:
[tex]\[
10x - 9x + 11 = 6x + 16
\][/tex]
Combine the [tex]\(x\)[/tex] terms on the left side:
[tex]\[
x + 11 = 6x + 16
\][/tex]
2. Move all [tex]\(x\)[/tex] terms to one side and constants to the other:
[tex]\[
x + 11 - 6x = 16
\][/tex]
Simplify the equation by combining like terms:
[tex]\[
11 - 5x = 16
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
[tex]\[
11 - 16 = 5x
\][/tex]
Subtract 16 from both sides:
[tex]\[
-5 = 5x
\][/tex]
Finally, divide both sides by -5:
[tex]\[
x = -1
\][/tex]
Therefore, the solution to the equation [tex]\(10x - (9x - 11) = 6x + 16\)[/tex] is [tex]\(x = -1\)[/tex].
