Answer:
The value of [tex]x[/tex]:
[tex]x = 44[/tex]
Step-by-step explanation:
Find the value of [tex]x[/tex]:
[tex]2(x + 10) = 3(x-8)[/tex]
Use Distributive Property:
[tex]2(x + 10) = 3(x-8)[/tex]
[tex]2x +20 = 3x - 24[/tex]
-Subtract both sides by [tex]3x[/tex] and combine both [tex]2x[/tex] and [tex]-3x[/tex] together:
[tex]2x +20 - 3x = 3x - 3x - 24[/tex]
[tex]-x + 20 = -24[/tex]
-Subtract both sides by [tex]20[/tex]:
[tex]-x + 20 - 20 = - 24 - 20[/tex]
[tex]-x = -44[/tex]
Divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} = \frac{-44}{-1}[/tex]
[tex]x = 44[/tex]
So, the final answer would be [tex]x = 44[/tex].
