Solve for x
x=17
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5\left(x+4\right)=7\left(x-2\right)
Multiply both sides of the equation by 35, the least common multiple of 7,5.
5x+20=7\left(x-2\right)
Use the distributive property to multiply 5 by x+4.
5x+20=7x-14
Use the distributive property to multiply 7 by x-2.
5x+20-7x=-14
Subtract 7x from both sides.
-2x+20=-14
Combine 5x and -7x to get -2x.
-2x=-14-20
Subtract 20 from both sides.
-2x=-34
Subtract 20 from -14 to get -34.
x=\frac{-34}{-2}
Divide both sides by -2.
x=17
Divide -34 by -2 to get 17.
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