Answer:
[tex]\boxed {x = \frac{17}{10}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]3(5 - x) = 7x - 2[/tex]
-Use Distributive Property:
[tex]3(5 - x) = 7x - 2[/tex]
[tex]15 - 3x = 7x - 2[/tex]
-Take [tex]7x[/tex] and subtract it from [tex]-3x[/tex]:
[tex]15 - 3x - 7x = 7x - 7x - 2[/tex]
[tex]15 - 10x = -2[/tex]
-Subtract [tex]15[/tex] to both sides:
[tex]15 - 15 - 10x = -2 - 15[/tex]
[tex]-10x = -17[/tex]
-Divide bot sides by [tex]-10[/tex]:
[tex]\frac{-10x}{-10} = \frac{-17}{-10}[/tex]
[tex]\boxed {x = \frac{17}{10}}[/tex]
So, the value of [tex]x[/tex] is [tex]\frac{17}{10}[/tex].
