Question

solvethe equation ,|5-4x|=|7+3x|​

Answer 1

Step-by-step explanation:

One of efficient ways of solving modulus on both sides is below approach:

|a| = |b| reduces to

a = b or a = -b

|5-4x|=|7+3x|

CASE (i):

5 - 4x = 7 + 3x

-4x - 3x = 7 - 5

-7x = 2

x = -2/7

CASE (ii):

5 - 4x = -7 -3x

-4x + 3x = -7 - 5

-x = -12

x = 12

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