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2\left(17x+3\right)=5x+6
Variable x cannot be equal to -\frac{6}{5} since division by zero is not defined. Multiply both sides of the equation by 2\left(5x+6\right), the least common multiple of 5x+6,2.
34x+6=5x+6
Use the distributive property to multiply 2 by 17x+3.
34x+6-5x=6
Subtract 5x from both sides.
29x+6=6
Combine 34x and -5x to get 29x.
29x=6-6
Subtract 6 from both sides.
29x=0
Subtract 6 from 6 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 29 is not equal to 0, x must be equal to 0.