Solve for x
x=-39
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3\left(x-1\right)=4\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 3\left(x+9\right), the least common multiple of x+9,3.
3x-3=4\left(x+9\right)
Use the distributive property to multiply 3 by x-1.
3x-3=4x+36
Use the distributive property to multiply 4 by x+9.
3x-3-4x=36
Subtract 4x from both sides.
-x-3=36
Combine 3x and -4x to get -x.
-x=36+3
Add 3 to both sides.
-x=39
Add 36 and 3 to get 39.
x=-39
Multiply both sides by -1.
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