exam Maths Puzzle Numerical Ability

A student claims that the equation 5x = 4x is a contradiction, since dividing both sides by x leads to 5 = 4, a false statement. Explain why the student is incorrect.

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Hi,
Can you help me with this math problem?Thanks.
17.Decompose into partial fractions.

2x^2-24x+35/(x^2+2x-7)(x-2)

Answer: 7x/x^2+2x-7 - 5/x-2
In the figure at the right, WY bisects UV at Y and UY bisects TW at X. Given the following conditions, find the value of x and the measure of the indicated segment.
UY= 4x-3, YV=