Solve for x
x=3
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-5\left(5x-7\right)=4\left(3x-19\right)
Variable x cannot be equal to \frac{19}{3} since division by zero is not defined. Multiply both sides of the equation by 5\left(3x-19\right), the least common multiple of 19-3x,5.
-25x+35=4\left(3x-19\right)
Use the distributive property to multiply -5 by 5x-7.
-25x+35=12x-76
Use the distributive property to multiply 4 by 3x-19.
-25x+35-12x=-76
Subtract 12x from both sides.
-37x+35=-76
Combine -25x and -12x to get -37x.
-37x=-76-35
Subtract 35 from both sides.
-37x=-111
Subtract 35 from -76 to get -111.
x=\frac{-111}{-37}
Divide both sides by -37.
x=3
Divide -111 by -37 to get 3.
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