The problem asks us to solve for $x$ in each of the given equations.

AlgebraEquationsSolving for xLinear Equations
2025/5/21

1. Problem Description

The problem asks us to solve for xx in each of the given equations.

2. Solution Steps

i) 307+49=49+x307 + 49 = 49 + x
Subtract 49 from both sides:
307+4949=49+x49307 + 49 - 49 = 49 + x - 49
307=x307 = x
ii) 476+24=x+476476 + 24 = x + 476
Subtract 476 from both sides:
476+24476=x+476476476 + 24 - 476 = x + 476 - 476
24=x24 = x
iii) 93+167=167+x93 + 167 = 167 + x
Subtract 167 from both sides:
93+167167=167+x16793 + 167 - 167 = 167 + x - 167
93=x93 = x
iv) 3500+2000=x+35003500 + 2000 = x + 3500
Subtract 3500 from both sides:
3500+20003500=x+350035003500 + 2000 - 3500 = x + 3500 - 3500
2000=x2000 = x
i) (7+4)+5=7+(x+5)(7 + 4) + 5 = 7 + (x + 5)
11+5=7+x+511 + 5 = 7 + x + 5
16=12+x16 = 12 + x
Subtract 12 from both sides:
1612=12+x1216 - 12 = 12 + x - 12
4=x4 = x
ii) 18+(10+43)=(x+10)+4318 + (10 + 43) = (x + 10) + 43
18+53=x+10+4318 + 53 = x + 10 + 43
71=x+5371 = x + 53
Subtract 53 from both sides:
7153=x+535371 - 53 = x + 53 - 53
18=x18 = x
iii) (11+x)+13=11+(8+13)(11 + x) + 13 = 11 + (8 + 13)
11+x+13=11+2111 + x + 13 = 11 + 21
24+x=3224 + x = 32
Subtract 24 from both sides:
24+x24=322424 + x - 24 = 32 - 24
x=8x = 8
iv) x+(19+7)=(41+19)+7x + (19 + 7) = (41 + 19) + 7
x+26=60+7x + 26 = 60 + 7
x+26=67x + 26 = 67
Subtract 26 from both sides:
x+2626=6726x + 26 - 26 = 67 - 26
x=41x = 41

3. Final Answer

i) x=307x = 307
ii) x=24x = 24
iii) x=93x = 93
iv) x=2000x = 2000
i) x=4x = 4
ii) x=18x = 18
iii) x=8x = 8
iv) x=41x = 41

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