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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