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49x-14=8\left(5x+2\right)
Use the distributive property to multiply 7 by 7x-2.
49x-14=40x+16
Use the distributive property to multiply 8 by 5x+2.
49x-14-40x=16
Subtract 40x from both sides.
9x-14=16
Combine 49x and -40x to get 9x.
9x=16+14
Add 14 to both sides.
9x=30
Add 16 and 14 to get 30.
x=\frac{30}{9}
Divide both sides by 9.
x=\frac{10}{3}
Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.