Solve for x 10-x/6=10

Solution:

Step 1: Isolate the variable $x$ on one side of the equation.

• Subtract $10$ from both sides to eliminate the constant term on the left side.
  $\frac{10-x}{6} - 10 = 10 - 10$

Step 2: Simplify both sides of the equation.

• The right side becomes $0$ after subtraction.
  $\frac{-x}{6} = 0$

Step 3: Solve for $x$.

• Multiply both sides by $-6$ to find the value of $x$.
  $x = 0$

Knowledge Notes:

To solve an equation for a variable, you need to isolate the variable on one side of the equation. Here are the relevant knowledge points for this problem:

1. Isolating the variable: This involves moving all terms containing the variable to one side of the equation and all constants to the other side. This is done through operations that are inverses of those in the equation, such as addition or subtraction.

2. Simplifying the equation: Once the variable is isolated, simplify the equation if necessary by combining like terms or reducing fractions.

3. Solving for the variable: After simplifying, you can solve for the variable by performing operations that will leave the variable by itself on one side of the equation. In this case, since the equation is linear and the coefficient of $x$ is a fraction, you would typically multiply both sides of the equation by the denominator to solve for $x$.

4. Checking the solution: It's always good practice to check your solution by substituting it back into the original equation to ensure that it satisfies the equation.

In this particular problem, the solution is straightforward since subtracting $10$ from both sides immediately leads to $x$ being equal to zero. No further operations are necessary after simplification.