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How do you solve #(3x-2)/2=x#?

Answer 1

Isaiah Anthony

#x=2#

#(3x-2)/2 = x# is equivalent to #3x-2 = 2x#

This simplifies as #color(white)("XXXX")##x -2 = 0# or #color(white)("XXXX")##x=2#

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Answer 2

Jameson Allen

To solve the equation (3x - 2) / 2 = x, follow these steps:

Multiply both sides of the equation by 2 to eliminate the fraction: 2 * [(3x - 2) / 2] = 2 * x.
Simplify: 3x - 2 = 2x.
Subtract 2x from both sides: 3x - 2x - 2 = 0.
Simplify: x - 2 = 0.
Add 2 to both sides: x = 2.

Therefore, the solution to the equation is x = 2.

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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.