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7\left(2x-4\right)=3\left(-5x-3\right)
Multiply both sides of the equation by 21, the least common multiple of 3,7.
14x-28=3\left(-5x-3\right)
Use the distributive property to multiply 7 by 2x-4.
14x-28=-15x-9
Use the distributive property to multiply 3 by -5x-3.
14x-28+15x=-9
Add 15x to both sides.
29x-28=-9
Combine 14x and 15x to get 29x.
29x=-9+28
Add 28 to both sides.
29x=19
Add -9 and 28 to get 19.
x=\frac{19}{29}
Divide both sides by 29.