Answered

IDNLearn.com: Where curiosity meets clarity and questions find their answers. Discover detailed answers to your questions with our extensive database of expert knowledge.

Solve for [tex]$x$[/tex].

[tex]\[
\begin{array}{c}
4x + 1 = 3x - 2 \\
x = [?]
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
To solve for \( x \) in the equation \( 4x + 1 = 3x - 2 \), we can follow these steps:

1. Move all terms involving \( x \) to one side of the equation and all the constant terms to the other side. This helps in isolating \( x \).

Start by subtracting \( 3x \) from both sides of the equation:
[tex]\[ 4x + 1 - 3x = 3x - 2 - 3x \][/tex]
Simplifying both sides gives us:
[tex]\[ 4x - 3x + 1 = -2 \][/tex]

2. Combine the \( x \) terms on the left side of the equation:
[tex]\[ x + 1 = -2 \][/tex]

3. Isolate the variable \( x \) by moving the constant term to the other side. Subtract 1 from both sides:
[tex]\[ x + 1 - 1 = -2 - 1 \][/tex]
Simplifying this gives:
[tex]\[ x = -3 \][/tex]

Thus, the solution to the equation \( 4x + 1 = 3x - 2 \) is:
[tex]\[ x = -3 \][/tex]
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.