Consider the equation.
\[
2 x+5=8 x-4
\]
What is the solution to the equation?
$-\frac{3}{2}$
$-\frac{1}{6}$
$\frac{1}{6}$
$\frac{3}{2}$

Answer

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Answer

The solution to the equation is $\boxed{\frac{3}{2}}$.

Steps

Step 1 ：Consider the equation $2x + 5 = 8x - 4$.

Step 2 ：To solve for x, we need to isolate x on one side of the equation.

Step 3 ：Subtract 2x from both sides to get $5 = 6x - 4$.

Step 4 ：Add 4 to both sides to get $9 = 6x$.

Step 5 ：Divide both sides by 6 to solve for x, $x = \frac{9}{6} = \frac{3}{2}$.

Step 6 ：The solution to the equation is $\boxed{\frac{3}{2}}$.