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Solve for x. 6.46x. + 64 = 41.7316 + 8x

A. 45.22

B. 22.46

C. 43.2716

D. 14.46

1 answer

To solve the equation \( 6.46x + 64 = 41.7316 + 8x \), we will follow these steps:

  1. First, let's rearrange the equation to isolate the terms involving \( x \) on one side and the constant terms on the other side.

    Subtract \( 8x \) from both sides: \[ 6.46x - 8x + 64 = 41.7316 \]

    This simplifies to: \[ -1.54x + 64 = 41.7316 \]

  2. Next, subtract 64 from both sides: \[ -1.54x = 41.7316 - 64 \] \[ -1.54x = -22.2684 \]

  3. Now, divide both sides by \(-1.54\) to solve for \( x \): \[ x = \frac{-22.2684}{-1.54} \] \[ x \approx 14.46 \]

Therefore, the solution for \( x \) is \( 14.46 \).

The correct answer is: D. 14.46