Yes, because the equation is linear, there is only one solution:
4x - 3 = 12 +2x
4x - 2x = 12 + 3
2x = 15
x = 7.5
There is no other solution
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x = 0 and y = 4
It is a linear equation in x. The equation has the solution x = 0.
The solution: x = 6/7 and x = -1
The equation 6 + y = 12 is a simple equation in one variable. If you add 6 to both sides of the equals sign, you get y = 18, and that is the solution.
It's the equation of a straight line. Every point on the line is a solution to the equation. There are an infinite number of them.