Solve equation
-3x + 5 = 2 (x - 2) + 1
\(-3x+5=2(x-2)+1\ \ \ |use\ distributive\ property:a(b-c)=ab-ac\\\\-3x+5=2(x)-2(2)+1\\\\-3x+5=2x-4+1\\\\-3x+5=2x-3\ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\-5x+5=-3\ \ \ \ |subtract\ 5\ from\ both\ sides\\\\-5x=-8\ \ \ \ |divide\ both\ sides\ by\ (-5)\\\\\huge\boxed{x=\frac{8}{5}=\frac{5+3}{5}=\frac{5}{5}+\frac{3}{5}=1\frac{3}{5}}\)
simplify
−3x+5=2(x−2)+1
−3x+5=(2)(x)+(2)(−2)+1(Distribute)
−3x+5=2x+−4+1
−3x+5=(2x)+(−4+1)(Combine Like Terms)
−3x+5=2x+−3
−3x+5=2x−3
Subtract 2x from both sides.
−3x+5−2x=2x−3−2x
−5x+5=−3
Subtract 5 from both sides.
−5x+5−5=−3−5
−5x=−8
Divide both sides by -5.
−5x−5=−8−5
x=8/5