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3(x-4)=2(-2x+1) please help

Sagot :

lena3056
Answer: x=2.

Step by step:

3(x-4)=2(-2x+1)

3x-12=-4x+2

7x-12=2

7x=14

x=2

Answer:

[tex]\boxed{\boxed{\sf x=2}}[/tex]

Step-by-step explanation:

[tex]\sf 3\left(x-4\right)=2\left(-2x+1\right)[/tex]

Expand, Apply Distributive property:

→ [tex]\sf 3x-12=-4x+2[/tex]

Add 12 from both sides:

→ [tex]\sf 3x-12+12=-4x+2+12[/tex]

→ [tex]\sf 3x=-4x+14[/tex]

Add 4x from both sides:

→ [tex]\sf 3x+4x=-4x+14+4x[/tex]

→ [tex]\sf 7x=14[/tex]

Divide both sides by 7:

→ [tex]\sf \cfrac{7x}{7}=\cfrac{14}{7}[/tex]

→ [tex]\sf x=2[/tex]

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