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How do you solve for x: in #50X - 43 = 52X - 81#?

Answer 1

Nathan Axel

#X=19#

Isolate #X#:

#50X-43=52X-81#

#50X+38=52X#

#38=2X#

#X=19#

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Answer 2

Jameson Allen

To solve for ( x ) in the equation ( 50x - 43 = 52x - 81 ), follow these steps:

Move all terms containing ( x ) to one side of the equation by subtracting ( 50x ) from both sides: [ 50x - 50x - 43 = 52x - 50x - 81 ]
Simplify: [ -43 = 2x - 81 ]
Move the constant term to the other side of the equation by adding ( 81 ) to both sides: [ -43 + 81 = 2x - 81 + 81 ]
Simplify: [ 38 = 2x ]
Divide both sides by ( 2 ) to solve for ( x ): [ \frac{38}{2} = \frac{2x}{2} ]
Simplify: [ 19 = x ]

Therefore, the solution for ( x ) is ( x = 19 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.