\[14-(x+5)=3(x+9)-10\]

1
Remove parentheses.
14x5=3(x+9)1014-x-5=3(x+9)-10

2
Simplify  14x514-x-5  to  9x9-x.
9x=3(x+9)109-x=3(x+9)-10

3
Expand.
9x=3x+27109-x=3x+27-10

4
Simplify  3x+27103x+27-10  to  3x+173x+17.
9x=3x+179-x=3x+17

5
Subtract 99 from both sides.
x=3x+179-x=3x+17-9

6
Simplify  3x+1793x+17-9  to  3x+83x+8.
x=3x+8-x=3x+8

7
Subtract 3x3x from both sides.
x3x=8-x-3x=8

8
Simplify  x3x-x-3x  to  4x-4x.
4x=8-4x=8

9
Divide both sides by 4-4.
x=84x=-\frac{8}{4}

10
Simplify  84\frac{8}{4}  to  22.
x=2x=-2

Done

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