Solve for x
x=2
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5\left(x-2\right)=3\left(2-x\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x-10=3\left(2-x\right)
Use the distributive property to multiply 5 by x-2.
5x-10=6-3x
Use the distributive property to multiply 3 by 2-x.
5x-10+3x=6
Add 3x to both sides.
8x-10=6
Combine 5x and 3x to get 8x.
8x=6+10
Add 10 to both sides.
8x=16
Add 6 and 10 to get 16.
x=\frac{16}{8}
Divide both sides by 8.
x=2
Divide 16 by 8 to get 2.
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