What is the solution to the equation −4(x − 8) =−32 when solving for x

Question

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Answer 1

To solve the equation −4(x − 8) =−32 for x, we need to simplify the equation by distributing the -4 to the terms inside the parentheses:

-4(x - 8) = -32
-4x + 32 = -32

Next, we want to isolate the variable x by getting rid of the 32 term on the left side of the equation. We can do this by subtracting 32 from both sides:

-4x + 32 - 32 = -32 - 32
-4x = -64

To solve for x, we divide both sides of the equation by -4:

(-4x)/(-4) = (-64)/(-4)
x = 16

So the solution to the equation is x = 16.