Solve for x
x = -\frac{27}{2} = -13\frac{1}{2} = -13.5
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7\left(2x+1\right)=4\left(3x-5\right)
Variable x cannot be equal to \frac{5}{3} since division by zero is not defined. Multiply both sides of the equation by 7\left(3x-5\right), the least common multiple of 3x-5,7.
14x+7=4\left(3x-5\right)
Use the distributive property to multiply 7 by 2x+1.
14x+7=12x-20
Use the distributive property to multiply 4 by 3x-5.
14x+7-12x=-20
Subtract 12x from both sides.
2x+7=-20
Combine 14x and -12x to get 2x.
2x=-20-7
Subtract 7 from both sides.
2x=-27
Subtract 7 from -20 to get -27.
x=\frac{-27}{2}
Divide both sides by 2.
x=-\frac{27}{2}
Fraction \frac{-27}{2} can be rewritten as -\frac{27}{2} by extracting the negative sign.
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