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How do you solve #-4(x + 10) - 6 = -3(x - 2)#?

Answer 1

Isaiah Anthony

#color(blue)(x=-52#

#−4(x+10)−6=−3(x−2)#

#−4* x+ (-4) * (10) −6=−3 * (x) + (-3) * (−2)#

#−4 x - 40 −6=−3x + 6#

#−4 x - 46=−3x + 6#

#−4 x + 3x = 46 + 6#

#-x = 52#

#color(blue)(x=-52#

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Answer 2

Genesis Allen

To solve the equation -4(x + 10) - 6 = -3(x - 2), first distribute the -4 and the -3. This gives you -4x - 40 - 6 = -3x + 6. Then, combine like terms by adding 40 and 6 to both sides of the equation. This simplifies to -4x - 46 = -3x + 6. Next, subtract -3x from both sides to isolate x. This gives you -x - 46 = 6. Finally, add 46 to both sides to solve for x, resulting in -x = 52. To get the value of x, multiply both sides by -1, giving you x = -52.

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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.