Final answer:
To solve the equation 34(x-8)=-12, distribute 34 to both terms inside the parentheses, add 272 to both sides, and divide both sides by 34 to solve for x , then we get the solution to the equation is x = 7.6471.
Step-by-step explanation:
To solve the equation 34(x-8)=-12, we need to follow certain steps. Let's go through them:
Distribute the 34 to both terms inside the parentheses: 34x - 272 = -12.
Add 272 to both sides of the equation to isolate the variable: 34x = 260.
Divide both sides of the equation by 34 to solve for x: x = 260/34 = 7.6471 (rounded to four decimal places).
Therefore, the solution to the equation is x = 7.6471.