#Rational Equation
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Multiply both sides by x - 3
x + 4(x - 3) = 2x - 3
Expand
x + 4x - 12 = 2x -3
group
5x - 12 = 2x - 3
subtract 2x from both sides
3x - 12 = -3
Add 12
3x = 9
Divide by 3
x = 3.
But If you try inputting 3 into the original equation, we get a denominator of 0 on both sides.
Therefor
x ≠ 3
Meaning there are no real solutions for x