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22=-8+5x
Combine 7x and -2x to get 5x.
-8+5x=22
Swap sides so that all variable terms are on the left hand side.
5x=22+8
Add 8 to both sides.
5x=30
Add 22 and 8 to get 30.
x=\frac{30}{5}
Divide both sides by 5.
x=6
Divide 30 by 5 to get 6.