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How do you solve #0.5=4.1x-2(1.3x-4)#?

Answer 1

Julia Adams

#x=-5#

#0.5=4.1x-2.6x+8# (double negatives cancel out) #-7.5=1.5x# #x=-5#

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Answer 2

Nathan Axel

Extend the brackets

#0.5=4.1x-2.6x+8#

Transfer 0.5 and solved #x# #-1.5x=7.5#

Multiply both sides by 10 #-15x=75#

Transfer 15 #x=-75/15#

#color(Red)(x=-5#

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Answer 3

Eli Assouline

To solve the equation (0.5 = 4.1x - 2(1.3x - 4)), follow these steps:

Distribute the -2 inside the parentheses: (0.5 = 4.1x - 2 \cdot 1.3x + 2 \cdot 4)
Combine like terms: (0.5 = 4.1x - 2.6x + 8)
Simplify: (0.5 = 1.5x + 8)
Subtract 8 from both sides: (-7.5 = 1.5x)
Divide both sides by 1.5: (x = -5)

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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.