Respuesta :
Given :-
[tex]24x - 17 x ≥ 13x +15[/tex]
Solving it,
[tex](24 - 17)x \geqslant 13x + 15[/tex]
[tex] = > 7x \geqslant 13x + 15[/tex]
[tex] = > 7x - 13x \geqslant 15[/tex]
[tex] = > (7 - 13) x \geqslant 15[/tex]
[tex] = > - 6x \geqslant 15[/tex]
[tex] = > x \leqslant - \frac{15}{6}[/tex]
By reducing to lowest terms, we get,
[tex]x \leqslant - \frac{5}{2}[/tex]
So, Value of x is [tex] - \frac{5}{2}[/tex]
Simplifying
24x + -17x = 13x + -15
Combine like terms: 24x + -17x = 7x
7x = 13x + -15
Reorder the terms:
7x = -15 + 13x
Solving
7x = -15 + 13x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13x' to each side of the equation.
7x + -13x = -15 + 13x + -13x
Combine like terms: 7x + -13x = -6x
-6x = -15 + 13x + -13x
Combine like terms: 13x + -13x = 0
-6x = -15 + 0
-6x = -15
Divide each side by '-6'.
x = 2.5
Simplifying
x = 2.5
24x + -17x = 13x + -15
Combine like terms: 24x + -17x = 7x
7x = 13x + -15
Reorder the terms:
7x = -15 + 13x
Solving
7x = -15 + 13x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13x' to each side of the equation.
7x + -13x = -15 + 13x + -13x
Combine like terms: 7x + -13x = -6x
-6x = -15 + 13x + -13x
Combine like terms: 13x + -13x = 0
-6x = -15 + 0
-6x = -15
Divide each side by '-6'.
x = 2.5
Simplifying
x = 2.5