Answer:
[tex]\boxed {x = 5}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]2(5x - 1) = 3(x + 11)[/tex]
-Use Distributive Property:
[tex]2(5x - 1) = 3(x + 11)[/tex]
[tex]10x - 2 = 3x + 33[/tex]
-Take [tex]3x[/tex] and subtract it from [tex]10x[/tex]:
[tex]10x - 2 - 3x = 3x - 3x + 33[/tex]
[tex]7x - 2 = 33[/tex]
-Add [tex]2[/tex] on both sides:
[tex]7x - 2 + 2 = 33 + 2[/tex]
[tex]7x = 35[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7} = \frac{35}{7}[/tex]
[tex]\boxed {x = 5}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]5[/tex].