To find the value of [tex]\( x \)[/tex] in the equation [tex]\( 5x + 3 = 4x \)[/tex], follow these detailed steps:
1. Isolate the variable [tex]\( x \)[/tex]:
Start by moving all terms involving [tex]\( x \)[/tex] to one side of the equation. To do this, subtract [tex]\( 4x \)[/tex] from both sides of the equation.
[tex]\[
5x + 3 - 4x = 4x - 4x
\][/tex]
Simplify:
[tex]\[
5x - 4x + 3 = 0
\][/tex]
This reduces to:
[tex]\[
x + 3 = 0
\][/tex]
2. Solve for [tex]\( x \)[/tex]:
Next, you need to isolate [tex]\( x \)[/tex] by getting rid of the constant term on the left side. To do this, subtract 3 from both sides of the equation.
[tex]\[
x + 3 - 3 = 0 - 3
\][/tex]
Simplify:
[tex]\[
x = -3
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( 5x + 3 = 4x \)[/tex] is:
[tex]\[
x = -3
\][/tex]
