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Answer :
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].
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].
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