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discipulus

Answer:

[tex] \frac{3x + 1}{2} - 1 = 2x) \times 2 \\ 3x + 1 - 2 = 2x \\ 3x - 2x = 2 - 1 \\ x = 1 [/tex]

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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