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What is $x$ when $\frac{x - 1}{2} - \frac{x - 2}{3} = \frac{x - 3}{4}$ ?

Class 8Reducing to Simpler FormLinear Equations

A12
B10
C22
D11

Step-by-Step Solution

Multiply by 12:

6 (x - 1) - 4 (x - 2) = 3 (x - 3)

. So

6 x - 6 - 4 x + 8 = 3 x - 9

, i.e.

2 x + 2 = 3 x - 9

. Then

x = 11

.

Answer: D) 11

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