Algebra-1

To solve the equation |-5x + 7| = 42, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: -5x + 7 is positive

If -5x + 7 is positive, then the equation becomes -5x + 7 = 42.

Solve for x:

-5x + 7 = 42

-5x + 7 - 7 = 42 - 7

-5x = 35

-5x/(-5) = 35/(-5)

x = -7

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