Question

Solve for x 2(3x -6) = 4x +2

Answer 1

• x = 7

Explanation:

`\sf 2(3x -6) = 4x +2`

Expand (Apply Distributive property):-

`\sf 6x-12=4x+2`

Add 12 to both sides:-

`\sf 6x-12+12=4x+2+12`

`\sf 6x=4x+14`

Subtract 4x from both sides:-

`\sf 6x-4x=4x+14-4x`

`\sf 2x=14`

Divide both sides by 2:-

`\sf \cfrac{2x}{2}=\cfrac{14}{2}`

`\sf x=7`

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Answer 2

`\begin{gathered} 2(3x-6)=4x+2 \\ 6x-12=4x+2 \\ 6x-4x=2+12 \\ 2x=14 \\ x=7 \end{gathered}`