An equation can have zero or as many solutions as possible
The equation 5x + 2 − 2(x − 1) = 3x + 4 has infinitely many solutions
From the complete question (see attachment), we have the following equation
5x + 2 − 2(x − 1) = 3x + 4
Open the bracket
5x + 2 − 2x + 2 = 3x + 4
Collect like terms
5x − 2x + 2 + 2 = 3x + 4
Evaluate the like terms
3x + 4 = 3x + 4
The expressions on both sides of the equation are the same.
Hence, the equation has infinitely many solutions
Read more about equation solutions at:
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