Answer :

[tex]\bf 3(x-4)+3=x-2\implies 3x-12+3=x-2 \\\\\\ 3x-9=x-2\implies 2x-9=-2\implies 2x=7\implies x=\cfrac{7}{2}[/tex]

Answer:

x=3.5

Step-by-step explanation:

3(x-4)+3 = x-2

Distribute the 3

3x-12 +3 =x-2

Combine like terms

3x-9 = x-2

Subtract x from each side

3x-x -9 = x-2-x

2x -9 =-2

Add 9 to each side

2x-9+9 = -2+9

2x = 7

Divide by 2

2x/2 =7/2

x=3.5