Solve for x
x=14
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11\left(2x-13\right)-5\left(x-3\right)=11\left(x-9\right)+55
Multiply both sides of the equation by 55, the least common multiple of 5,11.
22x-143-5\left(x-3\right)=11\left(x-9\right)+55
Use the distributive property to multiply 11 by 2x-13.
22x-143-5x+15=11\left(x-9\right)+55
Use the distributive property to multiply -5 by x-3.
17x-143+15=11\left(x-9\right)+55
Combine 22x and -5x to get 17x.
17x-128=11\left(x-9\right)+55
Add -143 and 15 to get -128.
17x-128=11x-99+55
Use the distributive property to multiply 11 by x-9.
17x-128=11x-44
Add -99 and 55 to get -44.
17x-128-11x=-44
Subtract 11x from both sides.
6x-128=-44
Combine 17x and -11x to get 6x.
6x=-44+128
Add 128 to both sides.
6x=84
Add -44 and 128 to get 84.
x=\frac{84}{6}
Divide both sides by 6.
x=14
Divide 84 by 6 to get 14.
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Limits
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