Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=92x=92
Decimal Form:
x=4.5x=4.5
Mixed Number Form:
x=412x=412
the answer is x = 9/2
explanation
3 (x - 2) = 7 – (4 - x)
apply the distributive law to 3(x - 2)
to get 3x - 6
simplify 7-(4-x)
3 + x
you now have
3x - 6 = x + 3
add 6 to both sides
-6+6=0 3 + 6 = 9
3x=x+9
subtract x from both sides
3x - x = 2x x - x = 0
2x = 9
divide both sides by 2
2x/2 = x 9/2
to get x = 9/2