How many solutions does 2(3x-4)=-(8-6x) have?

1 Answer
EZ as pi
Nov 23, 2016

There is an infinite number of solutions.
#x#can have any value.

Explanation:

As it is a linear equation, it would appear that there is one solution.
But it might also be an identity.

Solve to check..

#2(3x-4) = -(8-6x)#

#6x-8 = -8+6x" "LHS = RHS#

#6x-6x = -8+8#

#0=0#

This is a TRUE statement, but there is no #x# term left to solve for.
Therefore this represents an identity, which means it is true for any value of the variable.

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