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4x+10-5x=3x-2
Use the distributive property to multiply 5 by 2-x.
-x+10=3x-2
Combine 4x and -5x to get -x.
-x+10-3x=-2
Subtract 3x from both sides.
-4x+10=-2
Combine -x and -3x to get -4x.
-4x=-2-10
Subtract 10 from both sides.
-4x=-12
Subtract 10 from -2 to get -12.
x=\frac{-12}{-4}
Divide both sides by -4.
x=3
Divide -12 by -4 to get 3.