x= 1
step-by-step explanation: convert 5\frac{11}{12}5
β12
β
β11
ββ to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
βc
β
βb
ββ =
βc
β
βac+b
ββ
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1
β3
β
β1
ββ +
β6
ββ5
ββ x=
β12
β5Γ12+11
ββ 2 simplify 5\times 125Γ12 to 6060
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1
β3
ββ1
ββ +
β6
β5
ββ x=
β12
ββ60+11
ββ3 simplify 60+1160+11 to 7171
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1
β3
ββ1
ββ +
β6
ββ5
ββ x=
β12
ββ71
ββ4 simplify \frac{5}{6}x
β6
ββ5
ββ x to \frac{5x}{6}
β6
β5x
ββ 3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1
β3
β
β1
ββ +
β6
β5x
ββ =
β12
ββ71
ββ 5 convert 1\frac{1}{3}1
β3
ββ1
ββ to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
βc
ββb
ββ =
βc
ββac+b
ββ3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
β3
ββ1Γ3+1
ββ +
β6
ββ5x
ββ =
β12
β71
ββ 6 simplify 1\times 31Γ3 to 33
3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
β3
ββ3+1
ββ +
β6
ββ5x
ββ =
β12
β71
ββ 7 simplify 3+13+1 to 44
3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
β3
ββ4
ββ +
β6
β5x
ββ =
β12
β71
ββ8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+
β3
ββ4
ββ +
β6
ββ5x
ββ to \frac{13.75}{3}+\frac{4x}{3}
β3
ββ13.75
ββ +
β3
β4x
ββ \frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}
β3
ββ13.75
ββ +
β3
ββ4x
ββ =
β12
β71
ββ 9 simplify \frac{13.75}{3}
β3
ββ13.75
ββ to 4.5833334.583333
4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+
β3
ββ4x
ββ =
β12
β71
ββ 10 subtract 4.5833334.583333 from both sides
\frac{4x}{3}=\frac{71}{12}-4.583333
β3
β
β4x
ββ =
β12
β
β71
ββ β4.583333
11 simplify \frac{71}{12}-4.583333
β12
β
β71
ββ β4.583333 to \frac{4}{3}
β3
β4
β\frac{4x}{3}=\frac{4}{3}
β3
ββ4x
ββ =
β3
β4
ββ 12 multiply both sides by 33
4x=\frac{4}{3}\times 34x=
β3
β4
ββ Γ3
13 simplify \frac{4}{3}\times 3
β3
ββ4
ββ Γ3 to \frac{12}{3}
β3
ββ12
ββ 4x=\frac{12}{3}4x=
β3
ββ12
ββ 14 simplify \frac{12}{3}
β3
ββ12
ββ to 44
4x=44x=4
15 divide both sides by 44
x=1
ββ
