Respuesta :

Answer:

[tex]x = -5\frac{1}{2}[/tex] is the solution

Step-by-step explanation:

Given

[tex]3x - 1 = 5x + 10[/tex] --- Correct expression

[tex]x = -5\frac{1}{2}[/tex]

Required

Determine if the given solution is correct

To do this, we simply solve for x in the given equation.

So, we have:

[tex]3x - 1 = 5x + 10[/tex]

Collect like terms

[tex]3x - 5x = 1 + 10[/tex]

[tex]-2x = 11[/tex]

Divide both sides by -2

[tex]\frac{-2x}{-2} = \frac{11}{-2}[/tex]

[tex]x = -\frac{11}{2}[/tex]

[tex]x = -5\frac{1}{2}[/tex]