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Fill in the missing work and justification for step 3 when solving 2(x + 1) = 10.
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Fill in the missing work and justification for step 3 when solving 2(x + 1) = 10.
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Mathematics
5 years
2021-08-10T00:16:24+00:00
2021-08-10T00:16:24+00:00 1 Answers
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Answers ( )
Answer:
2(x + 1) = 10
x = 4
Step-by-step explanation:
Given:
2(x + 1) = 10
Solution:
Apply Distributive property
A*(B+C) = (A*B) + (A*C)
This means multiply 2 with x and 1
2*(x+1) = (2*x) + (2*1)
2x + 2 = 10
Use Subtraction property of equality
A = B, then A – C = B – C
Subtracting 2 from both sides:
2x + 2 – 2 = 10 – 2
2x = 8 Step 3
Use Division property of equality
It state that if you divide both sides of an equation by same nonzero number then the sides remain equal
Dividing both sides by 2
2x/2 = 8/2
x = 4
This means value of x is 4
Another method to solve this equation is:
2(x+1)=10
Use Distributive property
A*(B+C) = (A*B) + (A*C)
2*(x+1) = (2*x) + (2*1)
2*(x+1) = 2x + 2
Use commutative property
A + (-B) = (-B) + A
2x + 2 + (-2) = 2x + (-2) + 2
2x + 2 + (-2) = 10 + (-2)
2x + 2 – 2 = 10-2
2x = 8
Using division property
AX = B
AX / A = B / A
So
X = B/A
This becomes:
2x = 8
2x = 8.
Divide both sides by 2
2x / 2 = 8 / 2
x = 4