Question

6(x – 3) = 4(x + 3) need help

Answer 1

• 
  `\boxed{\sf x=15}`

Explanation:

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

Expand (Apply Distributive property):-

`\sf 6x-18=4x+12`

Add 18 to both sides:-

`\sf 6x-18+18=4x+12+18`

Simplify:-

`\sf 6x=4x+30`

Now, subtract 4x from both sides:-

`\sf 6x-4x=4x+30-4x`

Simplify:-

`\sf 2x=30`

Divide both sides by 2:-

`\sf \cfrac{2x}{2}=\cfrac{30}{2}`

`\sf x=15`

Therefore, your answer is x = 15!!

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Hope this helps you!

Have a great day!

Answer 2

x=15

Explanation

`6(x-3)=4(x+3)`

Step 1

apply distributive property to eliminate the parenthesis

`\begin{gathered} 6(x-3)=4(x+3) \\ 6\cdot x+6\cdot-3=4\cdot x+4\cdot3 \\ 6x-18=4x+12 \\ \end{gathered}`

Step 2

subtract 4x in both sides

`\begin{gathered} 6x-18=4x+12 \\ 6x-18-4x=4x+12-4x \\ 2x-18=12 \end{gathered}`

Step 3

add 18 in both sides

`\begin{gathered} 2x-18=12 \\ 2x-18+18=12+18 \\ 2x=30 \end{gathered}`

Step 4

finally , divide both sides by 2

`\begin{gathered} 2x=30 \\ (2x)/(2)=(30)/(2) \\ x=15 \end{gathered}`

I hope this helps you