Answer:
x = 5.5
Step-by-step explanation:
given the equation
[tex]\frac{4x+5}{3}[/tex] - [tex]\frac{3-2x}{2}[/tex] = 13
multiply through by 6 ( the LCM of 3 and 2) to clear the fractions
6 × [tex]\frac{(4x+5)}{3}[/tex] - 6 × [tex]\frac{(3-2x)}{2}[/tex] = 6 × 13 ( simplify both sides )
2(4x + 5) - 3(3 - 2x) = 78 ← distribute parenthesis on left side
8x + 10 - 9 + 6x = 78 ( simplify left side )
14x + 1 = 78 ( subtract 1 from both sides )
14x = 77 (divide both sides by 14 )
[tex]\frac{14}{14}[/tex] x = [tex]\frac{77}{14}[/tex] , then
x = 5.5
