To solve the equation 8x-2(x-3)=12, we can start by simplifying the equation.
Using the distributive property, we can multiply -2 to both terms inside the parentheses:
8x - 2(x-3) = 12
8x - 2x + 6 = 12
Combining like terms on the left side, we get:
6x + 6 = 12
Next, we subtract 6 from both sides of the equation to isolate the variable:
6x + 6 - 6 = 12 - 6
6x = 6
Finally, we divide both sides of the equation by 6 to solve for x:
6x/6 = 6/6
x = 1
Therefore, the solution to the equation 8x-2(x-3)=12 is x = 1.
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