Answer: x = 4
Step-by-step explanation:
2(x+1)=10
Distributive properties
a*(b+c)=(a*b)+(a*c)
Using distributive properties
Then
2*(x+1)=(2*x)+(2*1)
2*(x+1)=2x+2
Now, commutative properties
a*b=b*a
Addition is cumulative
a+(-b)=(-b)+a
Therefore applying to 2x+2
2x+2+(-2)=2x+(-2)+2
Then, applying to the equation
2x+2+(-2)=10+(-2), +×-=-
2x+2 -2=10-2
2x=8
Using division properties
ax=b
If a is none zero
Then ax/a=b/a
Therefore x=b/a
Applying that to 2x=8
2x=8. Divide both side by 2 which is none zero
2x/2= 8/2
x=4
Option B
Subtraction Property of equality
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