Respuesta :
An equation is formed when two equal expressions. The correct option is C.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.)
A.) 4(x + 3) + 2x = 6(x + 2)
4x + 12 + 2x = 6x + 12
4x + 2x -6x = 12 + 12
0 = 0
All real numbers will satisfy the equation, therefore, the equation has an infinite number of solutions.
B.)
5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 4x = x + 3x + 3
4x - 11 = 4x + 3
4x-4x = 3 +11
0 ≠ 14
All real numbers will satisfy the equation, therefore, the equation has an infinite number of solutions.
C.)
5(x + 3) + x = 4(x + 3) + 3
5x + 15 + x = 4x + 12 + 3
6x - 4x = 15 - 15
2x = 0
x = 0
The equation has no solution.
D.)
4 + 6(2 + x) = 2(3x + 8)
4 + 12 + 6x = 6x + 8
16 + 6x = 6x + 8
6x - 6x = -16 - 8
0≠ -24
All real numbers will satisfy the equation, therefore, the equation has an infinite number of solutions.
Hence, the correct option is C.
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