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Solve each equation. Check your solution.

x+1+2=4

Short Answer

Expert verified

The solution of the given equation is x=3.

Check:

Substitute 3 for x in the given equation x+1+2=4.

x+1+2=43+1+2?¯¯44+2?¯¯42+2?¯¯44=4

Therefore,x=3is the solution of the given equation x+1+2=4.

Step by step solution

01

Step 1. Rewrite the given equation.

The given equation can be written as:

x+1+2=4x+1=4−2x+1=2x+12=22squaringbothsidesx+1=4

02

Step 2. Solve the given equation.

The solution of the given equation is:

x+1=4x=4−1x=3

Therefore, the solution of the given equation is x=3.

03

Step 3. Check the solution.

Substitute 3 for x in the given equation x+1+2=4.

x+1+2=43+1+2?¯¯44+2?¯¯42+2?¯¯44=4

Therefore,x=3 is the solution of the given equation x+1+2=4.

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