Question

8x + 5 = 2(x – 3) + 11

Answer 1

Answer: x=0

Step-by-step explanation:

8x + 5 = 2(x – 3) + 11

8x + 5 = 2x-6 + 11

8x + 5 = 2x+5

8x=2x

x=0

Answer 2

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:

$\longrightarrow\tt{\displaystyle\frac{6x}{6}=\frac{0}{6}}$

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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