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Given the linear equation-82 = 6 - 8(x + 3).
Determine the solution to the equation above.

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Final answer:

To determine the solution to the given linear equation -82 = 6 - 8(x + 3), simplify the equation by distributing the -8 to the terms inside the parentheses. Combine like terms, isolate the variable, and solve for x to find that the solution is x = -8.

Step-by-step explanation:

To determine the solution to the given linear equation -82 = 6 - 8(x + 3), we need to simplify the equation by distributing the -8 to the terms inside the parentheses.

-82 = 6 - 8x - 24

Next, combine like terms:

-82 = -18 - 8x

To isolate the variable, add 18 to both sides of the equation:

-82 + 18 = -18 - 8x + 18

-64 = -8x

Finally, divide both sides by -8:

x = -8

User Todd Freed
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