Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Solve for x:

[tex]\(-4(x - 2) + 2x = 16\)[/tex]

Sagot :

GinnyAnswer
Sure! Let's solve the equation step-by-step:

Given the equation:
[tex]\[ -4(x - 2) + 2x = 16 \][/tex]

1. Distribute the [tex]\(-4\)[/tex] across the [tex]\((x - 2)\)[/tex]:
[tex]\[ -4 \cdot x + (-4) \cdot (-2) + 2x = 16 \][/tex]
This simplifies to:
[tex]\[ -4x + 8 + 2x = 16 \][/tex]

2. Combine like terms on the left side:
Group the [tex]\(x\)[/tex] terms together:
[tex]\[ (-4x + 2x) + 8 = 16 \][/tex]
This simplifies to:
[tex]\[ -2x + 8 = 16 \][/tex]

3. Isolate the terms involving [tex]\(x\)[/tex] by subtracting 8 from both sides:
[tex]\[ -2x + 8 - 8 = 16 - 8 \][/tex]
This simplifies to:
[tex]\[ -2x = 8 \][/tex]

4. Solve for [tex]\(x\)[/tex] by dividing both sides by [tex]\(-2\)[/tex]:
[tex]\[ x = \frac{8}{-2} \][/tex]
This simplifies to:
[tex]\[ x = -4 \][/tex]

So, the solution to the equation [tex]\( -4(x - 2) + 2x = 16 \)[/tex] is:
[tex]\[ x = -4 \][/tex]
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.