Solve for x
x=1
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2\left(x+1\right)-\left(x-3\right)=2\times 3x
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+1\right), the least common multiple of 2x+2,x+1.
2x+2-\left(x-3\right)=2\times 3x
Use the distributive property to multiply 2 by x+1.
2x+2-x+3=2\times 3x
To find the opposite of x-3, find the opposite of each term.
x+2+3=2\times 3x
Combine 2x and -x to get x.
x+5=2\times 3x
Add 2 and 3 to get 5.
x+5=6x
Multiply 2 and 3 to get 6.
x+5-6x=0
Subtract 6x from both sides.
-5x+5=0
Combine x and -6x to get -5x.
-5x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-5}{-5}
Divide both sides by -5.
x=1
Divide -5 by -5 to get 1.
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