QuestionAugust 25, 2025

Solve each equation and show all work or points will be lost 1. 3(2x+4)=30 2. 5x-7=3x+11 3. 4(x-2)+3=15 4. 2x+5=3x-4 5. 6(x+1)=2x+20 6. 10-2x=4x-8

Solve each equation and show all work or points will be lost 1. 3(2x+4)=30 2. 5x-7=3x+11 3. 4(x-2)+3=15 4. 2x+5=3x-4 5. 6(x+1)=2x+20 6. 10-2x=4x-8
Solve each equation and show all work or points will be lost
1. 3(2x+4)=30
2. 5x-7=3x+11
3. 4(x-2)+3=15
4. 2x+5=3x-4
5. 6(x+1)=2x+20
6. 10-2x=4x-8

Solution
3.7(267 votes)

Answer

1. x = 3 ### 2. x = 9 ### 3. x = 5 ### 4. x = 9 ### 5. x = \frac{7}{2} ### 6. x = 3 Explanation 1. Simplify and Solve for x in 3(2x+4)=30 Distribute: 6x + 12 = 30. Subtract 12: 6x = 18. Divide by 6: x = 3. 2. Isolate x in 5x-7=3x+11 Subtract 3x: 2x - 7 = 11. Add 7: 2x = 18. Divide by 2: x = 9. 3. Simplify and Solve for x in 4(x-2)+3=15 Distribute: 4x - 8 + 3 = 15. Combine: 4x - 5 = 15. Add 5: 4x = 20. Divide by 4: x = 5. 4. Isolate x in 2x+5=3x-4 Subtract 2x: 5 = x - 4. Add 4: x = 9. 5. Simplify and Solve for x in 6(x+1)=2x+20 Distribute: 6x + 6 = 2x + 20. Subtract 2x: 4x + 6 = 20. Subtract 6: 4x = 14. Divide by 4: x = \frac{7}{2}. 6. Isolate x in 10-2x=4x-8 Add 2x: 10 = 6x - 8. Add 8: 18 = 6x. Divide by 6: x = 3.

Explanation

1. Simplify and Solve for $x$ in $3(2x+4)=30$<br /> Distribute: $6x + 12 = 30$. Subtract 12: $6x = 18$. Divide by 6: $x = 3$.<br /><br />2. Isolate $x$ in $5x-7=3x+11$<br /> Subtract $3x$: $2x - 7 = 11$. Add 7: $2x = 18$. Divide by 2: $x = 9$.<br /><br />3. Simplify and Solve for $x$ in $4(x-2)+3=15$<br /> Distribute: $4x - 8 + 3 = 15$. Combine: $4x - 5 = 15$. Add 5: $4x = 20$. Divide by 4: $x = 5$.<br /><br />4. Isolate $x$ in $2x+5=3x-4$<br /> Subtract $2x$: $5 = x - 4$. Add 4: $x = 9$.<br /><br />5. Simplify and Solve for $x$ in $6(x+1)=2x+20$<br /> Distribute: $6x + 6 = 2x + 20$. Subtract $2x$: $4x + 6 = 20$. Subtract 6: $4x = 14$. Divide by 4: $x = \frac{7}{2}$.<br /><br />6. Isolate $x$ in $10-2x=4x-8$<br /> Add $2x$: $10 = 6x - 8$. Add 8: $18 = 6x$. Divide by 6: $x = 3$.
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