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------------------------------------------------ Points [tex] A, B, C, D, [/tex] and [tex] E [/tex] are collinear.

If [tex] AC = 16 [/tex], solve for [tex] x [/tex] in the equation:

[tex] x + 7 + 2x = 16 - 7 [/tex]

[tex] x + \frac{2x}{2} = \frac{9}{2} [/tex]

Sure! Let's solve the equation step-by-step.

We're given the equation:
[tex]\[ x + 7 + 2x = 16 - 7 \][/tex]

1. Simplify the Right-Hand Side:
On the right side of the equation, simplify [tex]\(16 - 7\)[/tex]:
[tex]\[ 16 - 7 = 9 \][/tex]

2. Combine Like Terms on the Left-Hand Side:
On the left side of the equation, combine the terms involving [tex]\(x\)[/tex]:
[tex]\[ x + 2x + 7 = 3x + 7 \][/tex]

3. Set the Simplified Left-Hand Side Equal to the Right-Hand Side:
Now we rewrite the equation with our simplified expressions:
[tex]\[ 3x + 7 = 9 \][/tex]

4. Isolate the Term with [tex]\(x\)[/tex]:
Subtract 7 from both sides to isolate terms involving [tex]\(x\)[/tex]:
[tex]\[ 3x + 7 - 7 = 9 - 7 \][/tex]
This simplifies to:
[tex]\[ 3x = 2 \][/tex]

5. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 3 to solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{2}{3} \][/tex]

So, the value of [tex]\(x\)[/tex] is [tex]\(\frac{2}{3}\)[/tex].