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2\left(3x+5\right)=5\left(7-x\right)
Multiply both sides of the equation by 10, the least common multiple of 5,2.
6x+10=5\left(7-x\right)
Use the distributive property to multiply 2 by 3x+5.
6x+10=35-5x
Use the distributive property to multiply 5 by 7-x.
6x+10+5x=35
Add 5x to both sides.
11x+10=35
Combine 6x and 5x to get 11x.
11x=35-10
Subtract 10 from both sides.
11x=25
Subtract 10 from 35 to get 25.
x=\frac{25}{11}
Divide both sides by 11.