Connect with a global community of knowledgeable individuals on IDNLearn.com. Our community is ready to provide in-depth answers and practical solutions to any questions you may have.
Sagot :
Sure, let's solve the equation step by step:
1. Start with the given equation:
[tex]\[ 2(3 - x) = 16(x + 1) \][/tex]
2. Distribute the constants on both sides of the equation:
[tex]\[ 2 \cdot 3 - 2 \cdot x = 16 \cdot x + 16 \cdot 1 \][/tex]
This simplifies to:
[tex]\[ 6 - 2x = 16x + 16 \][/tex]
3. Combine like terms by getting all x terms on one side and constants on the other side. Let's move the [tex]\( -2x \)[/tex] term to the right side and the constant [tex]\( 16 \)[/tex] to the left:
[tex]\[ 6 - 16 = 16x + 2x \][/tex]
This simplifies to:
[tex]\[ -10 = 18x \][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 18:
[tex]\[ x = \frac{-10}{18} \][/tex]
5. Simplify the fraction:
[tex]\[ x = \frac{-5}{9} \][/tex]
So, the solution is:
[tex]\[ x = -\frac{5}{9} \][/tex]
In decimal form, this is approximately:
[tex]\[ x \approx -0.5555555555555556 \][/tex]
1. Start with the given equation:
[tex]\[ 2(3 - x) = 16(x + 1) \][/tex]
2. Distribute the constants on both sides of the equation:
[tex]\[ 2 \cdot 3 - 2 \cdot x = 16 \cdot x + 16 \cdot 1 \][/tex]
This simplifies to:
[tex]\[ 6 - 2x = 16x + 16 \][/tex]
3. Combine like terms by getting all x terms on one side and constants on the other side. Let's move the [tex]\( -2x \)[/tex] term to the right side and the constant [tex]\( 16 \)[/tex] to the left:
[tex]\[ 6 - 16 = 16x + 2x \][/tex]
This simplifies to:
[tex]\[ -10 = 18x \][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 18:
[tex]\[ x = \frac{-10}{18} \][/tex]
5. Simplify the fraction:
[tex]\[ x = \frac{-5}{9} \][/tex]
So, the solution is:
[tex]\[ x = -\frac{5}{9} \][/tex]
In decimal form, this is approximately:
[tex]\[ x \approx -0.5555555555555556 \][/tex]
We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.