Question
0.5(4x+24)=22x-2
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Answer to a math question 0.5(4x+24)=22x-2
Velda
4.5109 Answers
Solution:
1. Given equation:
-0.5(4x + 24) = 22x - 2
2. Simplify the left side:
- Apply the distributive property:0.5 \times 4x + 0.5 \times 24 = 22x - 2
- This gives us:2x + 12 = 22x - 2
3. Rearrange to solve for x:
- Subtract2x 2x + 12 - 2x = 22x - 2 - 2x
- Simplify:12 = 20x - 2
4. Add 2 to both sides to isolate terms:
-12 + 2 = 20x - 2 + 2
- Simplify:14 = 20x
5. Divide by 20 to solve for x:
-x = \frac{14}{20}
- Simplify the fraction:x = \frac{7}{10}
The solution to the equation is $x = \\frac{7}{10}$.
1. Given equation:
-
2. Simplify the left side:
- Apply the distributive property:
- This gives us:
3. Rearrange to solve for x:
- Subtract
- Simplify:
4. Add 2 to both sides to isolate terms:
-
- Simplify:
5. Divide by 20 to solve for x:
-
- Simplify the fraction:
The solution to the equation is $x = \\frac{7}{10}$.
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