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How do you solve for x in #a(x + b) = c#?

Answer 1

Abigail Allen

#color(blue)(x = (c - ab) /a#

#a (x+b) = c#

#a xx (x) + a xx( b) = c#

#ax + a b = c#

#ax = c - ab#

#x = (c - ab) /a#

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Answer 2

Eva Abramson

To solve for ( x ) in the equation ( a(x + b) = c ), first distribute ( a ) across ( x ) and ( b ) by multiplying: [ a \cdot x + a \cdot b = c ]

Then, isolate the term containing ( x ) by subtracting ( a \cdot b ) from both sides: [ a \cdot x = c - a \cdot b ]

Finally, divide both sides by ( a ) to solve for ( x ): [ x = \frac{c - a \cdot b}{a} ]

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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.