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The value of x that will satisfy the equation is x=-1.
We have given that,
[tex]\left|x-1\right|=\left|x+3\right|[/tex]
We have to solve the above inequality
Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions.
Find the positive and negative intervals
[tex]x < -3,\:\:-3\le \:x < 1,\:\:x\ge \:1[/tex]
Solve the inequality for each interval
[tex]x < -3,\:\:-3\le \:x < 1,\:\:x\ge \:1[/tex]
[tex]\mathrm{No\:Solution}\quad \mathrm{or}\quad \:x=-1[/tex]
Therefore we get,
[tex]x=-1[/tex]
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