Solve for x
x=5
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x\times 30=\left(x+1\right)\times 25
Variable x cannot be equal to any of the values -1,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+1\right), the least common multiple of x+1,x.
x\times 30=25x+25
Use the distributive property to multiply x+1 by 25.
x\times 30-25x=25
Subtract 25x from both sides.
5x=25
Combine x\times 30 and -25x to get 5x.
x=\frac{25}{5}
Divide both sides by 5.
x=5
Divide 25 by 5 to get 5.
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