\[5\frac{1}{3}x+8\frac{1}{2}=3\frac{1}{3}\]
1
Convert 5135\frac{1}{3} to improper fraction. Use this rule: abc=ac+bca \frac{b}{c}=\frac{ac+b}{c}.
5×3+13x+812=313\frac{5\times 3+1}{3}x+8\frac{1}{2}=3\frac{1}{3}

2
Simplify  5×35\times 3  to  1515.
15+13x+812=313\frac{15+1}{3}x+8\frac{1}{2}=3\frac{1}{3}

3
Simplify  15+115+1  to  1616.
163x+812=313\frac{16}{3}x+8\frac{1}{2}=3\frac{1}{3}

4
Convert 8128\frac{1}{2} to improper fraction. Use this rule: abc=ac+bca \frac{b}{c}=\frac{ac+b}{c}.
163x+8×2+12=313\frac{16}{3}x+\frac{8\times 2+1}{2}=3\frac{1}{3}

5
Simplify  8×28\times 2  to  1616.
163x+16+12=313\frac{16}{3}x+\frac{16+1}{2}=3\frac{1}{3}

6
Simplify  16+116+1  to  1717.
163x+172=313\frac{16}{3}x+\frac{17}{2}=3\frac{1}{3}

7
Convert 3133\frac{1}{3} to improper fraction. Use this rule: abc=ac+bca \frac{b}{c}=\frac{ac+b}{c}.
163x+172=3×3+13\frac{16}{3}x+\frac{17}{2}=\frac{3\times 3+1}{3}

8
Simplify  3×33\times 3  to  99.
163x+172=9+13\frac{16}{3}x+\frac{17}{2}=\frac{9+1}{3}

9
Simplify  9+19+1  to  1010.
163x+172=103\frac{16}{3}x+\frac{17}{2}=\frac{10}{3}

10
Simplify  163x\frac{16}{3}x  to  16x3\frac{16x}{3}.
16x3+172=103\frac{16x}{3}+\frac{17}{2}=\frac{10}{3}

11
Subtract 172\frac{17}{2} from both sides.
16x3=103−172\frac{16x}{3}=\frac{10}{3}-\frac{17}{2}

12
Simplify  103−172\frac{10}{3}-\frac{17}{2}  to  −316-\frac{31}{6}.
16x3=−316\frac{16x}{3}=-\frac{31}{6}

13
Multiply both sides by 33.
16x=−316×316x=-\frac{31}{6}\times 3

14
Use this rule: ab×c=acb\frac{a}{b} \times c=\frac{ac}{b}.
16x=−31×3616x=-\frac{31\times 3}{6}

15
Simplify  31×331\times 3  to  9393.
16x=−93616x=-\frac{93}{6}

16
Simplify  936\frac{93}{6}  to  312\frac{31}{2}.
16x=−31216x=-\frac{31}{2}

17
Divide both sides by 1616.
x=−31216x=-\frac{\frac{31}{2}}{16}

18
Simplify  31216\frac{\frac{31}{2}}{16}  to  312×16\frac{31}{2\times 16}.
x=−312×16x=-\frac{31}{2\times 16}

19
Simplify  2×162\times 16  to  3232.
x=−3132x=-\frac{31}{32}

Done

Decimal Form: -0.96875

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