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7x-3=-2\left(5x-2\right)
Variable x cannot be equal to \frac{2}{5} since division by zero is not defined. Multiply both sides of the equation by 5x-2.
7x-3=-10x+4
Use the distributive property to multiply -2 by 5x-2.
7x-3+10x=4
Add 10x to both sides.
17x-3=4
Combine 7x and 10x to get 17x.
17x=4+3
Add 3 to both sides.
17x=7
Add 4 and 3 to get 7.
x=\frac{7}{17}
Divide both sides by 17.