Final answer:
To solve the equation 5x−6=3x+10, subtract 3x from both sides to isolate the variable, add 6 to both sides to isolate the variable, and then divide both sides by 2 to solve for x. The solution to the equation is x = 8. Option (D) is correct.
Step-by-step explanation:
To solve the equation 5x−6=3x+10, we need to get all the x terms on one side and all the constant terms on the other side. We can do this by subtracting 3x from both sides:
5x−3x−6=3x+10−3x
2x−6=10
Next, we can add 6 to both sides to isolate the variable:
2x−6+6=10+6
2x=16
Finally, we can divide both sides by 2 to solve for x:
2x/2=16/2
x=8
Therefore, the solution to the equation is x = 8, so the correct answer is d) x = 8.
Mathematical operations include addition, subtraction, multiplication, and division. An equation is made up of expressions that equal each other. A formula is an equation with two or more variables that represents a relationship between the variables.