Answered

IDNLearn.com: Your go-to resource for finding precise and accurate answers. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

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 are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.