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7x+5x-10=2\left(x+3\right)
Use the distributive property to multiply 5 by x-2.
12x-10=2\left(x+3\right)
Combine 7x and 5x to get 12x.
12x-10=2x+6
Use the distributive property to multiply 2 by x+3.
12x-10-2x=6
Subtract 2x from both sides.
10x-10=6
Combine 12x and -2x to get 10x.
10x=6+10
Add 10 to both sides.
10x=16
Add 6 and 10 to get 16.
x=\frac{16}{10}
Divide both sides by 10.
x=\frac{8}{5}
Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.