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Solve the following equations for [tex]\( x \)[/tex]:

1. [tex]\( 7x - 4 = 171 \)[/tex]
2. [tex]\( 8x - 920 = 7080 \)[/tex]
3. [tex]\( \frac{x}{2} + 8 = 88 \)[/tex]
4. [tex]\( 5x = 35745 \)[/tex]
5. [tex]\( 4x - 4 = 3x + 6 \)[/tex]
6. [tex]\( \frac{5x}{2} + 40 = 500 \)[/tex]
7. [tex]\( \frac{x}{9} - 43 = 1000 \)[/tex]
8. [tex]\( \frac{x}{7} - 5 = 0 \)[/tex]
9. [tex]\( 5x - 4x + 3x + 8 = 8 \)[/tex]

Sagot :

GinnyAnsweridn
Sure, let's solve each equation step-by-step.

### Equation 3: [tex]\( 7x - 4 = 171 \)[/tex]
1. Add 4 to both sides:
[tex]\[ 7x = 175 \][/tex]
2. Divide both sides by 7:
[tex]\[ x = 25 \][/tex]

### Equation 4: [tex]\( 8x - 920 = 7080 \)[/tex]
1. Add 920 to both sides:
[tex]\[ 8x = 8000 \][/tex]
2. Divide both sides by 8:
[tex]\[ x = 1000 \][/tex]

### Equation 6: [tex]\( \frac{x}{2} + 8 = 88 \)[/tex]
1. Subtract 8 from both sides:
[tex]\[ \frac{x}{2} = 80 \][/tex]
2. Multiply both sides by 2:
[tex]\[ x = 160 \][/tex]

### Equation 7: [tex]\( 5x = 35745 \)[/tex]
1. Divide both sides by 5:
[tex]\[ x = 7149 \][/tex]

### Equation 10: [tex]\( 4x - 4 = 3x + 6 \)[/tex]
1. Subtract 3x from both sides:
[tex]\[ x - 4 = 6 \][/tex]
2. Add 4 to both sides:
[tex]\[ x = 10 \][/tex]

### Equation 11: [tex]\( \frac{5x}{2} + 40 = 500 \)[/tex]
1. Subtract 40 from both sides:
[tex]\[ \frac{5x}{2} = 460 \][/tex]
2. Multiply both sides by 2 to clear the fraction:
[tex]\[ 5x = 920 \][/tex]
3. Divide both sides by 5:
[tex]\[ x = 184 \][/tex]

### Equation 12: [tex]\( \frac{x}{9} - 43 = 1000 \)[/tex]
1. Add 43 to both sides:
[tex]\[ \frac{x}{9} = 1043 \][/tex]
2. Multiply both sides by 9:
[tex]\[ x = 9387 \][/tex]

### Equation 14: [tex]\( \frac{x}{7} - 5 = 0 \)[/tex]
1. Add 5 to both sides:
[tex]\[ \frac{x}{7} = 5 \][/tex]
2. Multiply both sides by 7:
[tex]\[ x = 35 \][/tex]

### Equation 16: [tex]\( 5x - 4x + 3x + 8 = 8 \)[/tex]
1. Combine like terms:
[tex]\[ (5x - 4x + 3x) + 8 = 8 \][/tex]
[tex]\[ 4x + 8 = 8 \][/tex]
2. Subtract 8 from both sides:
[tex]\[ 4x = 0 \][/tex]
3. Divide both sides by 4:
[tex]\[ x = 0 \][/tex]

Thus, the solutions for the equations are:
[tex]\[ (25, 1000, 160, 7149, 10, 184, 9387, 35, 0) \][/tex]
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