$|x+1|=|2x+3|$

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Examples

Break down the problem into these 2 equations.

x+1=2x+3

x+1=-(2x+3)

Solve the 1st equation:

x+1=2x+3

Subtract

x

from both sides.

1=2x+3-x

Simplify

2x+3-x

x+3

1=x+3

Subtract

3

from both sides.

1-3=x

Simplify

1-3

-2

-2=x

Switch sides.

x=-2

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x=-2

Solve the 2nd equation:

x+1=-(2x+3)

Remove parentheses.

x+1=-2x-3

Add

2x

to both sides.

x+1+2x=-3

Simplify

x+1+2x

3x+1

3x+1=-3

Subtract

1

from both sides.

3x=-3-1

Simplify

-3-1

-4

3x=-4

Divide both sides by

3

x=-\frac{4}{3}

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x=-\frac{4}{3}

Collect all solutions.

x=-2,-\frac{4}{3}

Done

Decimal Form: -2, -1.333333

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∣x+1∣=∣2x+3∣|x+1|=|2x+3|∣x+1∣=∣2x+3∣