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5x-10=2\left(3-x\right)
Multiply both sides of the equation by 10, the least common multiple of 2,5.
5x-10=6-2x
Use the distributive property to multiply 2 by 3-x.
5x-10+2x=6
Add 2x to both sides.
7x-10=6
Combine 5x and 2x to get 7x.
7x=6+10
Add 10 to both sides.
7x=16
Add 6 and 10 to get 16.
x=\frac{16}{7}
Divide both sides by 7.