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x+3+2\left(4-x\right)=10
Multiply both sides of the equation by 4, the least common multiple of 4,2.
x+3+8-2x=10
Use the distributive property to multiply 2 by 4-x.
x+11-2x=10
Add 3 and 8 to get 11.
-x+11=10
Combine x and -2x to get -x.
-x=10-11
Subtract 11 from both sides.
-x=-1
Subtract 11 from 10 to get -1.
x=1
Multiply both sides by -1.