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5x-40+3\left(4-x\right)=14
Use the distributive property to multiply 5 by x-8.
5x-40+12-3x=14
Use the distributive property to multiply 3 by 4-x.
5x-28-3x=14
Add -40 and 12 to get -28.
2x-28=14
Combine 5x and -3x to get 2x.
2x=14+28
Add 28 to both sides.
2x=42
Add 14 and 28 to get 42.
x=\frac{42}{2}
Divide both sides by 2.
x=21
Divide 42 by 2 to get 21.