Question

8x + 5 = 2(x – 3) + 11

Answer 1

Hi, let me help you out!

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Let's solve this equation for x!

When solving an equation, the goal is to isolate the variable that we're solving for. This is done in several ways:

• Inverse operations
• Combining like terms
• Using the Distributive Property to expand expressions in the form
  `\tt{a(b+c)}`.

Usually, these ways work together, and you should use several methods to solve equations; the method "Inverse operations" is a method that's always used for solving an equation.

Alright, let's get started! :D

Our equation is:

`\longrightarrow\tt{8x+5=2(x-3)+11}`

Step 1: Apply the third method and use the Distributive Property:

`\longrightarrow\tt{8x+5=2\cdot x-2\cdot(-3)}`

Step 2: Simplify:

`\longrightarrow\tt{8x+5=2x-6+11}`

Step 3: Combine like terms:

`\longrightarrow\tt{8x+5=2x+5}`

Step 4: Subtract 5 from both sides of the equal sign:

`\longrightarrow\tt{8x+5-5=2x+5-5}`

Step 5: Simplify:

`\longrightarrow\tt{8x=2x}`

Step 6: Subtract 2x from both sides of the equal sign:

`\longrightarrow\tt{8x-2x=2x-2x}`

Step 7: Simplify:

`\longrightarrow\tt{6x=0}`

Step 8: Divide both sides by 6:

`\longrightarrow\tt{\displaystyle(6x)/(6)=(0)/(6)}`

Step 9: Simplify:

`\longrightarrow\tt{x=0}`

Hence, we conclude that the answer is:

`\longrightarrow\tt{x=0}\checkmark`

I hope this helps you! Have an awesome day!

If you need any explanation or clarification, kindly comment below this answer, and I'll respond asap and see what I can do to help! :D

~An amiable teenage girl willing to assist you

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Answer 2

Answer: x=0

Explanation:

8x + 5 = 2(x – 3) + 11

8x + 5 = 2x-6 + 11

8x + 5 = 2x+5

8x=2x

x=0