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What is the value of [tex]$x$[/tex] in the equation [tex]$4x + 5 = 3x + 4$[/tex]?

Solve the equation using algebra tiles.

Sagot :

GinnyAnsweridn
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].
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