The value of c for which the equation is identity is 6
Given the expression
|2x + 5|=|cx + 3 - 4x +2|
Collecting the like terms;
|2x + 5|=|cx - 4x + 3 +2|
|2x + 5|=|cx - 4x + 5|
If the modulus is positive;
2x + 5 = (c-4)x + 5
Compare both sides of the equation
2x = (c-4)x
2 = c-4
c = 2 + 4
c = 6
Hence the value of c for which the equation is identity is 6
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