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Match each step to its justification to solve [tex]\( 2x + 5 = 19 \)[/tex].

1. [tex]\( 2x + 5 = 19 \)[/tex]
- Given

2. [tex]\( 2x + 5 - 5 = 19 - 5 \)[/tex]
- Subtraction property of equality

3. [tex]\( 2x = 14 \)[/tex]
- Subtract

4. [tex]\( \frac{2x}{2} = \frac{14}{2} \)[/tex]
- Division property of equality

5. [tex]\( x = 7 \)[/tex]
- Divide

Sagot :

GinnyAnsweridn
Sure! Here is the detailed step-by-step solution for solving the equation [tex]\(2x + 5 = 19\)[/tex] along with matching each step to its justification:

1. Step: [tex]\(2x + 5 = 19\)[/tex]
Justification: given

2. Step: [tex]\(2x + 5 - 5 = 19 - 5\)[/tex]
Justification: subtraction property of equality

3. Step: [tex]\(2x = 14\)[/tex]
Justification: subtract

4. Step: [tex]\(2x / 2 = 14 / 2\)[/tex]
Justification: division property of equality

5. Step: [tex]\(x = 7\)[/tex]
Justification: simplify

By following these steps, we have solved the equation [tex]\(2x + 5 = 19\)[/tex] and found that [tex]\(x = 7\)[/tex].

To summarize:
- Step 1: [tex]\(2x + 5 = 19\)[/tex] (given)
- Step 2: [tex]\(2x + 5 - 5 = 19 - 5\)[/tex] (subtraction property of equality)
- Step 3: [tex]\(2x = 14\)[/tex] (subtract)
- Step 4: [tex]\(2x / 2 = 14 / 2\)[/tex] (division property of equality)
- Step 5: [tex]\(x = 7\)[/tex] (simplify)
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