Answer:
[tex]\boxed {x = -19}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]-4(x + 1) - 3 = -3(x - 4)[/tex]
-Use Distributive Property to both sides of the equation:
[tex]-4(x + 1) - 3 = -3(x - 4)[/tex]
[tex]-4x - 4 - 3 = -3x + 12[/tex]
-Combine like terms:
[tex]-4x - 4 - 3 = -3x + 12[/tex]
[tex]-4x - 7 = -3x + 12[/tex]
-Take [tex]-3x[/tex] and add it to [tex]-4x[/tex]:
[tex]-4x - 7 + 3x = -3x + 3x + 12[/tex]
[tex]-x - 7 = 12[/tex]
-Add both sides by [tex]7[/tex]:
[tex]-x - 7 + 7 = 12 + 7[/tex]
[tex]-x = 19[/tex]
-To make the variable [tex]x[/tex] positive, divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} = \frac{19}{-1}[/tex]
[tex]\boxed {x = -19}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-19[/tex].
