\[\frac{x+1}{2}+4=7\]
1
Subtract 44 from both sides.
x+12=7−4\frac{x+1}{2}=7-4

2
Simplify  7−47-4  to  33.
x+12=3\frac{x+1}{2}=3

3
Multiply both sides by 22.
x+1=3×2x+1=3\times 2

4
Simplify  3×23\times 2  to  66.
x+1=6x+1=6

5
Subtract 11 from both sides.
x=6−1x=6-1

6
Simplify  6−16-1  to  55.
x=5x=5

Done

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