Solve for x
x=-87
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6\left(x-4\right)=7\left(x+9\right)
Variable x cannot be equal to -9 since division by zero is not defined. Multiply both sides of the equation by 6\left(x+9\right), the least common multiple of x+9,6.
6x-24=7\left(x+9\right)
Use the distributive property to multiply 6 by x-4.
6x-24=7x+63
Use the distributive property to multiply 7 by x+9.
6x-24-7x=63
Subtract 7x from both sides.
-x-24=63
Combine 6x and -7x to get -x.
-x=63+24
Add 24 to both sides.
-x=87
Add 63 and 24 to get 87.
x=-87
Multiply both sides by -1.
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