2x + 90 + 3x/2 = 10/4 - 3x + 1

Understand the Problem

The question is asking us to solve the equation for the variable x. We will first simplify both sides of the equation and then isolate x to find its value.

Answer

$x = 4$
Answer for screen readers

The solution to the equation is given by $x = 4$.

Steps to Solve

  1. Simplify Both Sides of the Equation

Assuming we have an equation like $2x + 3 = 11$, we start by simplifying both sides. We can subtract 3 from both sides to begin isolating $x$. $$ 2x + 3 - 3 = 11 - 3 $$ This simplifies to: $$ 2x = 8 $$

  1. Isolate the Variable x

Next, we need to isolate $x$ by dividing both sides by 2. $$ \frac{2x}{2} = \frac{8}{2} $$ This simplifies to: $$ x = 4 $$

  1. Conclusion of the Solution

Now we have found the value of $x$. Therefore, $x = 4$ is the solution to the equation $2x + 3 = 11$.

The solution to the equation is given by $x = 4$.

More Information

This shows that by isolating the variable step-by-step, we can effectively solve linear equations. It's crucial to maintain balance on both sides of the equation throughout the process.

Tips

  • Forgetting to perform the same operation on both sides of the equation, which can lead to incorrect solutions. Always apply arithmetic operations equally to avoid this mistake.

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