Answer:
x = 3/2
Step-by-step explanation:
[tex] \frac{3}{2} (4x - 2) - 3x = 5 - (x + 2)[/tex]
Expand
[tex] \frac{3}{2} (4x - 2) = 6x - 3[/tex]
[tex] - (x + 2) = - x - 2[/tex]
[tex]6x - 3 - 3x = 5 - x - 2[/tex]
Collect like terms and simplify
[tex]6x - 3x + x = 5 - 2 + 3 \\ 4x = 6[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{6}{4} [/tex]
simplify
[tex]x = \frac{3}{2} [/tex]
