Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the following equation for x. Express your answer in the simplest form. 3(9x-7)-1=4x+6(-x+7)

Solve the following equation for x x . Express your answer in the simplest form.\newline3(9x−7)−1=4x+6(−x+7) 3(9 x-7)-1=4 x+6(-x+7) \newline

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Write a polynomial from its rootsright chevron icon

Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline3(9x−7)−1=4x+6(−x+7) 3(9 x-7)-1=4 x+6(-x+7) \newline
  1. Expand left side: Expand the left side: 3(9x−7)−1=27x−21−13(9x - 7) - 1 = 27x - 21 - 1.
  2. Combine like terms (left): Combine like terms on the left side: 27x−21−1=27x−2227x - 21 - 1 = 27x - 22.
  3. Expand right side: Expand the right side: 4x+6(−x+7)=4x−6x+424x + 6(-x + 7) = 4x - 6x + 42.
  4. Combine like terms (right): Combine like terms on the right side: 4x−6x+42=−2x+424x - 6x + 42 = -2x + 42.
  5. Set equation equal: Set the equation with both sides equal to each other: 27x−22=−2x+4227x - 22 = -2x + 42.
  6. Add xx terms: Add 2x2x to both sides to get all xx terms on one side: 27x+2x−22=4227x + 2x - 22 = 42.
  7. Combine like terms: Combine like terms: 29x−22=4229x - 22 = 42.
  8. Add to isolate xx: Add 2222 to both sides to isolate the xx term: 29x=42+2229x = 42 + 22.
  9. Combine like terms: Combine like terms: 29x=6429x = 64.
  10. Divide to solve xx: Divide both sides by 2929 to solve for xx: x=6429x = \frac{64}{29}.

More problems from Write a polynomial from its roots

Question
Find the degree of this polynomial.\newline`5b^{10} + 3b^3`\newline_______
Get tutor helpright-arrow

Posted 2 months ago

Question
Subtract.\newline(9a+5)−(2a+4)(9a + 5) - (2a + 4)\newline____
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the product. Simplify your answer. \newline−3v2(v2−9)-3v^2(v^2 - 9)\newline________
Get tutor helpright-arrow

Posted 1 month ago

Question
Find the product. Simplify your answer.\newline(v−3)(4v+1)(v - 3)(4v + 1)\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the square. Simplify your answer.\newline(3y+2)2(3y + 2)^2\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Divide. If there is a remainder, include it as a simplified fraction.\newline(24t2+36t)÷6t(24t^2 + 36t) \div 6t\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Is the function q(x)=x6−9 q(x) = x^6 - 9 even, odd, or neither?\newlineChoices:\newline[[even][odd][neither]]\text{[[even][odd][neither]]}
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the product. Simplify your answer. \newline−3q2(−3q2+q)-3q^2(-3q^2 + q)\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the product. Simplify your answer.\newline(r+3)(4r+2)(r + 3)(4r + 2)\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the roots of the factored polynomial.\newline(x+7)(x+4)(x + 7)(x + 4)\newlineWrite your answer as a list of values separated by commas.\newlinex=x = ____
Get tutor helpright-arrow

Posted 2 months ago

View all (44)