Solve the equation.
$6-2 x=3 x$

Add 2 x to both sides: 6 = 5 x .
Divide both sides by 5: 5 6 ​ = x .
Simplify to find the value of x .
The solution to the equation is 5 6 ​ ​ .

Explanation

Understanding the Problem We are given the equation 6 − 2 x = 3 x and our goal is to find the value of x that satisfies this equation.

Isolating x Terms To solve for x , we first want to isolate the terms containing x on one side of the equation. We can achieve this by adding 2 x to both sides of the equation:


6 − 2 x + 2 x = 3 x + 2 x

Simplifying the Equation Now, we simplify both sides of the equation:

6 = 5 x

Isolating x Next, we want to isolate x completely. To do this, we divide both sides of the equation by 5:

5 6 ​ = 5 5 x ​

Finding the Value of x Finally, we simplify to find the value of x :

x = 5 6 ​
So, the solution to the equation is x = 5 6 ​ .
Examples
Imagine you're baking a cake and need to adjust a recipe. If the original recipe calls for a certain amount of flour ( x ) but you want to use a different amount based on the number of servings you need, you might end up with an equation like 6 − 2 x = 3 x . Solving this equation helps you determine the exact amount of flour ( x ) you need to maintain the correct proportions in your adjusted recipe. This kind of algebraic problem-solving is essential for accurate measurements and consistent results in cooking and baking.

Answered by GinnyAnswer | 2025-07-03

To solve the equation 6 − 2 x = 3 x , we add 2 x to both sides to get 6 = 5 x and then divide by 5, resulting in x = 5 6 ​ .
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Answered by Anonymous | 2025-07-04