Solve for x
x=15
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4\left(x+7\right)=11\left(x-7\right)
Variable x cannot be equal to 7 since division by zero is not defined. Multiply both sides of the equation by 4\left(x-7\right), the least common multiple of x-7,4.
4x+28=11\left(x-7\right)
Use the distributive property to multiply 4 by x+7.
4x+28=11x-77
Use the distributive property to multiply 11 by x-7.
4x+28-11x=-77
Subtract 11x from both sides.
-7x+28=-77
Combine 4x and -11x to get -7x.
-7x=-77-28
Subtract 28 from both sides.
-7x=-105
Subtract 28 from -77 to get -105.
x=\frac{-105}{-7}
Divide both sides by -7.
x=15
Divide -105 by -7 to get 15.
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