To solve the equation [tex]\( 4x + 5 = 3x + 4 \)[/tex] for [tex]\( x \)[/tex], we'll use standard algebraic techniques.
1. Move all the x terms to one side of the equation:
We start by subtracting [tex]\( 3x \)[/tex] from both sides of the equation. This is done to isolate the [tex]\( x \)[/tex] terms on one side:
[tex]\[
4x + 5 - 3x = 3x + 4 - 3x
\][/tex]
Simplifying the equation, we get:
[tex]\[
x + 5 = 4
\][/tex]
2. Move the constant term to the other side of the equation:
Next, we need to isolate [tex]\( x \)[/tex] by getting rid of the constant term on the left side of the equation. We do this by subtracting 5 from both sides:
[tex]\[
x + 5 - 5 = 4 - 5
\][/tex]
Simplifying the equation, we find:
[tex]\[
x = -1
\][/tex]
So, the value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( 4x + 5 = 3x + 4 \)[/tex] is [tex]\( -1 \)[/tex].
