Solve for x
x=-22
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7\left(x+2\right)=4\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 7\left(2x+9\right), the least common multiple of 2x+9,7.
7x+14=4\left(2x+9\right)
Use the distributive property to multiply 7 by x+2.
7x+14=8x+36
Use the distributive property to multiply 4 by 2x+9.
7x+14-8x=36
Subtract 8x from both sides.
-x+14=36
Combine 7x and -8x to get -x.
-x=36-14
Subtract 14 from both sides.
-x=22
Subtract 14 from 36 to get 22.
x=-22
Multiply both sides by -1.
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