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3\left(x+7\right)=2x-5
Variable x cannot be equal to \frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 3\left(2x-5\right), the least common multiple of 2x-5,3.
3x+21=2x-5
Use the distributive property to multiply 3 by x+7.
3x+21-2x=-5
Subtract 2x from both sides.
x+21=-5
Combine 3x and -2x to get x.
x=-5-21
Subtract 21 from both sides.
x=-26
Subtract 21 from -5 to get -26.