Multiple choice

Solve the following equation for $x$. $6+8(8-2x)=14-8(4x-2)$

  1. $\dfrac {5}{2}$
  2. $-\dfrac {5}{2}$
  3. $\dfrac {1}{2}$
  4. $\dfrac {3}{2}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

6 + 64 - 16x = 14 - 32x + 16. 70 - 16x = 30 - 32x. 16x = -40. x = -40/16 = -5/2.

AI explanation

First, distribute the 8 into the parentheses to expand the equation to 6 + 64 - 16x = 14 - 32x + 16. Combining the numbers on both sides yields 70 - 16x = 30 - 32x. Solving for x, we add 32x to both sides and subtract 70 from both sides to get 16x = -40. Dividing by 8 gives 2x = -5, which means x = -5/2.

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