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answers/possible steps:
x + 12 = 15
2x/2=42/2
x+12-12=15-12
2x+12-12=30-12
2x=18
x=21
2x=42
2x/2=18/2
x=9
2x+12+12=30+12
2x/2+12=30/2
x=3
1. Start with the equation 2x + 12 = 30.
2. Subtract 12 from both sides: 2x + 12 - 12 = 30 - 12.
3. Simplify: 2x = 18.
4. Divide both sides by 2: 2x/2 = 18/2.
5. Simplify: x = 9.
1. Start with the equation 1/3x - 4 = -12.
2. Add 4 to both sides: 1/3x - 4 + 4 = -12 + 4.
3. Simplify: 1/3x = -8.
4. Multiply both sides by 3: (1/3x) * 3 = -8 * 3.
5. Simplify: x = -24.
1/3x - 4 = -12
Solve for x
To solve the equation 2x + 12 = 30, follow these steps:
1. Start with the equation 2x + 12 = 30.
2. Subtract 12 from both sides of the equation to isolate the variable: 2x + 12 - 12 = 30 - 12.
3. Simplify: 2x = 18.
4. To solve for x, divide both sides of the equation by 2: 2x/2 = 18/2.
5. Simplify: x = 9.
The correct order of steps would be:
2x + 12 - 12 = 30 - 12
2x = 18
2x/2 = 18/2
x = 9
Therefore, the tiles should be arranged as follows:
Step 1: x + 12 = 15 (incorrect)
Step 2: 2x/2 = 42/2 (incorrect)
Step 3: x + 12 - 12 = 15 - 12 (incorrect)
Step 4: 2x + 12 - 12 = 30 - 12 (incorrect)
Step 5: 2x = 18 (correct)
Step 6: x = 21 (incorrect)
Step 7: 2x = 42 (incorrect)
Step 8: 2x/2 = 18/2 (incorrect)
Step 9: x = 9 (correct)
Step 10: 2x + 12 + 12 = 30 + 12 (incorrect)
Step 11: 2x/2 + 12 = 30/2 (incorrect)
Step 12: x = 3 (incorrect)
Arrange the tiles in the following order:
Step 1: 2x + 12 - 12 = 30 - 12
Step 2: 2x = 18
Step 3: 2x/2 = 18/2
Step 4: x = 9