Solve for x
x = \frac{477}{4} = 119\frac{1}{4} = 119.25
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14\left(x-3\right)-10\left(x-2\right)=455
Multiply both sides of the equation by 70, the least common multiple of 5,7,2.
14x-42-10\left(x-2\right)=455
Use the distributive property to multiply 14 by x-3.
14x-42-10x+20=455
Use the distributive property to multiply -10 by x-2.
4x-42+20=455
Combine 14x and -10x to get 4x.
4x-22=455
Add -42 and 20 to get -22.
4x=455+22
Add 22 to both sides.
4x=477
Add 455 and 22 to get 477.
x=\frac{477}{4}
Divide both sides by 4.
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