Answer: [tex]\bold{x=\dfrac{c}{a-b},\qquad x=7}[/tex]
Step-by-step explanation:
Move all of the x's to one side and everything else on the other.
ax = bx + c
ax - bx = c subtracted bx from both sides
x(a - b) = c factored out the like term of "x" on left side
[tex]x=\dfrac{c}{a-b}[/tex] divided both sides by (a- b)
2x = x + 7 → a = 2, b = 1, c = 7
[tex]x=\dfrac{7}{2-1}[/tex]
x = 7
Check:
2x = x + 7
-x -x
x = 7
