Solve for x
x = \frac{13}{2} = 6\frac{1}{2} = 6.5
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2\left(4x+7\right)=3\left(2x+9\right)
Variable x cannot be equal to -\frac{9}{2} since division by zero is not defined. Multiply both sides of the equation by 2\left(2x+9\right), the least common multiple of 2x+9,2.
8x+14=3\left(2x+9\right)
Use the distributive property to multiply 2 by 4x+7.
8x+14=6x+27
Use the distributive property to multiply 3 by 2x+9.
8x+14-6x=27
Subtract 6x from both sides.
2x+14=27
Combine 8x and -6x to get 2x.
2x=27-14
Subtract 14 from both sides.
2x=13
Subtract 14 from 27 to get 13.
x=\frac{13}{2}
Divide both sides by 2.
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