Solve for x
x=2
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\left(x+1\right)\times 2+x\times 3=\left(x+1\right)\times 4
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,x+1.
2x+2+x\times 3=\left(x+1\right)\times 4
Use the distributive property to multiply x+1 by 2.
5x+2=\left(x+1\right)\times 4
Combine 2x and x\times 3 to get 5x.
5x+2=4x+4
Use the distributive property to multiply x+1 by 4.
5x+2-4x=4
Subtract 4x from both sides.
x+2=4
Combine 5x and -4x to get x.
x=4-2
Subtract 2 from both sides.
x=2
Subtract 2 from 4 to get 2.
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