Question

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

Answer 1

x = 14/5

Step-by-step explanation:

The initial equation is:

`(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(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:

`(14)/(5)=x`

So, the answer is x = 14/5