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Drag each tile to the correct location on the algebraic problem. Not all tiles will be used.

Fill in the missing steps and justifications used to solve the given equation.

- Simplification
- Addition property of equality
- Subtraction property of equality
- Multiplication property of equality

Given:
[tex]\[ 4x - 7 + 2x = -2x + 12 + 2x \][/tex]

1. Combine like terms:
[tex]\[ 6x - 7 = 12 \][/tex]

2. Addition property of equality:
[tex]\[ 6x - 7 + 7 = 12 + 7 \][/tex]

3. Simplification:
[tex]\[ 6x = 19 \][/tex]

4. Division property of equality:
[tex]\[ x = \frac{19}{6} \][/tex]

Sagot :

GinnyAnswer
Sure, let's fill in the steps and justifications used to solve the given equation step-by-step:

1. Given
[tex]\[ 4x - 7 + 2x = -2x + 12 + 2x \][/tex]

2. Simplification
[tex]\[ 4x - 7 + 2x = -2x + 12 + 2x \][/tex]
Combine like terms:
[tex]\[ 6x - 7 = 12 \][/tex]

3. Addition property of equality
[tex]\[ 6x - 7 + 7 = 12 + 7 \][/tex]
Simplifies to:
[tex]\[ 6x = 19 \][/tex]

4. Division property of equality
Divide both sides by 6:
[tex]\[ x = \frac{19}{6} \][/tex]

5. Simplification
The final value of [tex]\( x \)[/tex]:
[tex]\[ x = \frac{19}{6} \][/tex]

So, the completed solution looks like this:

1. Given
[tex]\[ 4x - 7 + 2x = -2x + 12 + 2x \][/tex]

2. Simplification
[tex]\[ 6x - 7 = 12 \][/tex]

3. Addition property of equality
[tex]\[ 6x - 7 + 7 = 12 + 7 \][/tex]
[tex]\[ 6x = 19 \][/tex]

4. Division property of equality
[tex]\[ x = \frac{19}{6} \][/tex]

5. Simplification
[tex]\[ x = \frac{19}{6} \][/tex]
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