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How do you solve #4(2x − 1) − 3 = 9(x − 4)#?

Answer 1

Eva Abramson

# color(blue)(x = 29#

#4(2x-1) - 3 = 9(x-4)#

#4xx (2x) + 4 xx (-1) - 3 = 9 xx (x) + 9 xx (-4)#

#8x -4 - 3 = 9 x -36#

#8x -7 = 9 x -36#

# -7 +36 = 9 x -8x#

# -7 +36 = x#

# color(blue)(x = 29#

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Answer 2

Kennedy Adams

To solve the equation 4(2x - 1) - 3 = 9(x - 4), follow these steps:

Distribute the numbers outside the parentheses: 8x - 4 - 3 = 9x - 36
Combine like terms: 8x - 7 = 9x - 36
Move variables to one side and constants to the other side: 8x - 9x = -36 + 7 -x = -29
Multiply both sides by -1 to isolate x: x = 29

So, the solution to the equation is x = 29.

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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.