Question

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

Answer 1

Answer: x=2.

Step by step:

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

3x-12=-4x+2

7x-12=2

7x=14

x=2

Answer 2

`\boxed{\boxed{\sf x=2}}`

Explanation:

`\sf 3\left(x-4\right)=2\left(-2x+1\right)`

Expand, Apply Distributive property:

→
`\sf 3x-12=-4x+2`

Add 12 from both sides:

→
`\sf 3x-12+12=-4x+2+12`

→
`\sf 3x=-4x+14`

Add 4x from both sides:

→
`\sf 3x+4x=-4x+14+4x`

→
`\sf 7x=14`

Divide both sides by 7:

→
`\sf \cfrac{7x}{7}=\cfrac{14}{7}`

→
`\sf x=2`

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