Solve for x
x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333
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2x\times 5=\left(x+1\right)\times 7
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 2x\left(x+1\right), the least common multiple of x+1,2x.
10x=\left(x+1\right)\times 7
Multiply 2 and 5 to get 10.
10x=7x+7
Use the distributive property to multiply x+1 by 7.
10x-7x=7
Subtract 7x from both sides.
3x=7
Combine 10x and -7x to get 3x.
x=\frac{7}{3}
Divide both sides by 3.
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