We need to solve the following equations for $x$: 11. $5x - 3(x-1) = 39$ 12. $3x + 2(x-5) = 15$ 13. $7 - (x+1) = 9 - (2x-1)$ 14. $10x - (2x+3) = 21$ 15. $5(1-2x) - 3(4+4x) = 0$
2025/6/23
1. Problem Description
We need to solve the following equations for :
1
1. $5x - 3(x-1) = 39$
1
2. $3x + 2(x-5) = 15$
1
3. $7 - (x+1) = 9 - (2x-1)$
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4. $10x - (2x+3) = 21$
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5. $5(1-2x) - 3(4+4x) = 0$
2. Solution Steps
1
1. $5x - 3(x-1) = 39$
Distribute the :
Combine like terms:
Subtract 3 from both sides:
Divide both sides by 2:
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2. $3x + 2(x-5) = 15$
Distribute the 2:
Combine like terms:
Add 10 to both sides:
Divide both sides by 5:
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3. $7 - (x+1) = 9 - (2x-1)$
Distribute the :
Combine like terms:
Add to both sides:
Subtract 6 from both sides:
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4. $10x - (2x+3) = 21$
Distribute the :
Combine like terms:
Add 3 to both sides:
Divide both sides by 8:
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6. $5(1-2x) - 3(4+4x) = 0$
Distribute the 5 and -3:
Combine like terms:
Add 7 to both sides:
Divide both sides by -22:
3. Final Answer
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1. $x = 18$
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2. $x = 5$
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3. $x = 4$
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4. $x = 3$
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