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5x-3=7\left(x-2\right)-x
Combine 3x and 2x to get 5x.
5x-3=7x-14-x
Use the distributive property to multiply 7 by x-2.
5x-3=6x-14
Combine 7x and -x to get 6x.
5x-3-6x=-14
Subtract 6x from both sides.
-x-3=-14
Combine 5x and -6x to get -x.
-x=-14+3
Add 3 to both sides.
-x=-11
Add -14 and 3 to get -11.
x=11
Multiply both sides by -1.