Question

Solve for x1/2(7x - 6) = 6x - 10

Answer 1

Answer:

x = 14/5

Explanation:

The initial equation is:

$\frac{1}{2}(7x-6)=6x-10$

To solve for x, we first multiply both sides of the equation by 2, so:

$\begin{gathered} 2\cdot\frac{1}{2}(7x-6)=2\cdot(6x-10) \\ 7x-6=2(6x)-2(10) \\ 7x-6=12x-20 \end{gathered}$

Then, add 20 to both sides of the equation:

$\begin{gathered} 7x-6+20=12x-20+20 \\ 7x+14=12x \end{gathered}$

Subtract 7x from both sides:

$\begin{gathered} 7x+14-7x=12x-7x \\ 14=5x \end{gathered}$

Finally, divide both sides by 5:

$\frac{14}{5}=x$

So, the answer is x = 14/5