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

A. [tex]\(-3\)[/tex]
B. [tex]\(-\frac{1}{3}\)[/tex]
C. [tex]\(\frac{1}{3}\)[/tex]
D. 3

Sagot :

GinnyAnswer
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]
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