x= 1
step-by-step explanation: convert 5\frac{11}{12}5
​12
​
​11
​​ to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
​c
​
​b
​​ =
​c
​
​ac+b
​​
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1
​3
​
​1
​​ +
​6
​​5
​​ x=
​12
​5×12+11
​​ 2 simplify 5\times 125×12 to 6060
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1
​3
​​1
​​ +
​6
​5
​​ x=
​12
​​60+11
​​3 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
​3
​​1
​​ +
​6
​​5
​​ x=
​12
​​71
​​4 simplify \frac{5}{6}x
​6
​​5
​​ x to \frac{5x}{6}
​6
​5x
​​ 3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1
​3
​
​1
​​ +
​6
​5x
​​ =
​12
​​71
​​ 5 convert 1\frac{1}{3}1
​3
​​1
​​ to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
​c
​​b
​​ =
​c
​​ac+b
​​3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
​3
​​1×3+1
​​ +
​6
​​5x
​​ =
​12
​71
​​ 6 simplify 1\times 31×3 to 33
3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
​3
​​3+1
​​ +
​6
​​5x
​​ =
​12
​71
​​ 7 simplify 3+13+1 to 44
3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
​3
​​4
​​ +
​6
​5x
​​ =
​12
​71
​​8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+
​3
​​4
​​ +
​6
​​5x
​​ to \frac{13.75}{3}+\frac{4x}{3}
​3
​​13.75
​​ +
​3
​4x
​​ \frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}
​3
​​13.75
​​ +
​3
​​4x
​​ =
​12
​71
​​ 9 simplify \frac{13.75}{3}
​3
​​13.75
​​ to 4.5833334.583333
4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+
​3
​​4x
​​ =
​12
​71
​​ 10 subtract 4.5833334.583333 from both sides
\frac{4x}{3}=\frac{71}{12}-4.583333
​3
​
​4x
​​ =
​12
​
​71
​​ −4.583333
11 simplify \frac{71}{12}-4.583333
​12
​
​71
​​ −4.583333 to \frac{4}{3}
​3
​4
​\frac{4x}{3}=\frac{4}{3}
​3
​​4x
​​ =
​3
​4
​​ 12 multiply both sides by 33
4x=\frac{4}{3}\times 34x=
​3
​4
​​ ×3
13 simplify \frac{4}{3}\times 3
​3
​​4
​​ ×3 to \frac{12}{3}
​3
​​12
​​ 4x=\frac{12}{3}4x=
​3
​​12
​​ 14 simplify \frac{12}{3}
​3
​​12
​​ to 44
4x=44x=4
15 divide both sides by 44
x=1
​​
r
