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How do you solve #6( - 3x + 1) - 5x = 7( x - 1) - 7#?

Answer 1

Julia Adams

You need to expand the brackets and then collect the like terms, after that it is easy to find #x#.

#6( -3x + 1) - 5x = 7(x -1) -7#

#-> -18x +6 -5x =7x - 7 -7 #

#-> -23x + 6 = 7x -14 #

#->-30x = -20 #

#->x = (-20)/-30#

#->x = 2/3#

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Answer 2

Savannah Anderson

To solve the equation 6(-3x + 1) - 5x = 7(x - 1) - 7:

Distribute the numbers outside the parentheses: 6 * -3x + 6 * 1 - 5x = 7 * x - 7 * 1 - 7
Simplify each side of the equation: -18x + 6 - 5x = 7x - 7 - 7
Combine like terms: -18x - 5x + 6 = 7x - 14
Rearrange the equation: -18x - 5x - 7x = -14 - 6
Combine like terms again: -30x = -20
Solve for x: x = (-20) / (-30)
Simplify the fraction: x = 2/3

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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.