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Chapter 6: Problem 98

Solve each equation. \(2^{3}-\left[4(5-3)^{3}\right]=-8 x\)

Short Answer

Expert verified
The solution to the equation is \(x = 3\).

Step by step solution

01

Simplifying the equation

Start by working out the operations inside the brackets and the exponentiation before multiplication. So, the equation becomes \(2^{3}-\left[4(2)^{3}\right]=-8 x\), which simplifies to \(8 - 32 = -8x\)
02

Final simplification

We then simplify on the left side by subtracting \(8 - 32\) which gives \(-24 = -8x\)
03

Solving for x

Finally, solve for \(x\) by dividing both sides of the equation by -8. This results in \(x = \frac{-24}{-8} = 3\)

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