Solve for x
x=-1
x=-\frac{1}{3}\approx -0.333333333
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|3x+2|+x+2=x+3
Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by x+3.
|3x+2|+x+2-x=3
Subtract x from both sides.
|3x+2|+2=3
Combine x and -x to get 0.
|3x+2|=3-2
Subtract 2 from both sides.
|3x+2|=1
Subtract 2 from 3 to get 1.
3x+2=1 3x+2=-1
Use the definition of absolute value.
3x=-1 3x=-3
Subtract 2 from both sides of the equation.
x=-\frac{1}{3} x=-1
Divide both sides by 3.
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