Solve for x
x=15
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14\times 8=\left(x+1\right)\times 7
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 14\left(x+1\right), the least common multiple of x+1,14.
112=\left(x+1\right)\times 7
Multiply 14 and 8 to get 112.
112=7x+7
Use the distributive property to multiply x+1 by 7.
7x+7=112
Swap sides so that all variable terms are on the left hand side.
7x=112-7
Subtract 7 from both sides.
7x=105
Subtract 7 from 112 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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