Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]\frac{3x+1}{2}-1=x[/tex]
Add 1 to both sides:
[tex]\frac{3x+1}{2}-1+1=x+1[/tex]
[tex]\frac{3x+1}{2}=x+1[/tex]
Multiply both sides by 2:
[tex]\frac{3x+1}{2}\times \:2=x\times \:2+1\times \:2[/tex]
[tex]3x+1=x\times \:2+2[/tex]
Subtract 1 from both sides:
[tex]3x+1-1=x\cdot \:2+2-1[/tex]
[tex]3x=2x+1[/tex]
Subtract 2x from both sides:
[tex]3x-2x=2x+1-2x[/tex]
[tex]x=1[/tex]
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