Answer:
x = 2
Step-by-step explanation:
Given the equation:
[tex]8 - 0.02x = 2.23x + 3.5[/tex]
To eliminate the decimals, we can add [tex]0.02x[/tex] to both sides
[tex]8 - 0.02x +0.02x = 2.23x + 3.5 +0.02x[/tex]
[tex] 8 = 2.25x +3.5 [/tex]
Subtract [tex]3.5[/tex] from both sides:
[tex] 8 -3.5 = 2.25x +3.5-3.5 [/tex]
Now, let's combine like terms:
[tex]4.5 = 2.25x[/tex]
Now, to solve for [tex]x[/tex], we divide both sides by [tex]2.25[/tex]:
[tex]\dfrac{2.25x}{2.25} = \dfrac{4.5}{2.25} = 2[/tex]
Therefore, the solution to the equation [tex]8 - 0.02x = 2.23x + 3.5[/tex] is:
[tex]x = 2[/tex]
