Answer:
1. Given
2. [tex]4x=8x-16[/tex]
3. Subtraction property of equality.
4. Division property of equality.
Step-by-step explanation:
You need to remember:
- Distributive property:
[tex]a(b\±c)=ab\±ac[/tex]
- Subtraction property of equality:
If [tex]a=b[/tex], then [tex]a-c=b-c[/tex]
- Division property of equality:
If [tex]a=b[/tex], then [tex]\frac{a}{c}=\frac{b}{c}[/tex]
Then:
1. Given:
[tex]4x=8(x-2)[/tex]
2. We must apply Distributive property:
[tex]4x=8x-16[/tex]
3. Now we must apply the Subtraction property of equality. Subtracting [tex]8x[/tex] from both sides of the equation, we get:
[tex]4x-(8x)=8x-16-(8x)\\\\-4x=-16[/tex]
4. Finally, we must apply the Division property of equality. Dividing both sides of the equation by -4, we get:
[tex]\frac{-4x}{-4}=\frac{-16}{-4}\\\\x=4[/tex]
