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.

-3x+5(9x+1)=-2-6(-4x-9)

Solve the following equation for x x . Express your answer in the simplest form.\newline3x+5(9x+1)=26(4x9) -3 x+5(9 x+1)=-2-6(-4 x-9) \newline

Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline3x+5(9x+1)=26(4x9) -3 x+5(9 x+1)=-2-6(-4 x-9) \newline
  1. Combine Like Terms: Now, combine like terms on both sides of the equation.\newlineOn the left side, combine 3x-3x and 45x45x.\newline3x+45x=42x-3x + 45x = 42x\newlineOn the right side, there's only 24x24x.\newlineSo, the equation now is:\newline42x+5=54+24x42x + 5 = 54 + 24x
  2. Get x Terms Together: Next, get all the x terms on one side and the constants on the other side.\newlineSubtract 24x24x from both sides.\newline42x24x+5=54+24x24x42x - 24x + 5 = 54 + 24x - 24x\newlineThis simplifies to:\newline18x+5=5418x + 5 = 54
  3. Subtract Constants: Now, subtract 55 from both sides to isolate the xx term.\newline18x+55=54518x + 5 - 5 = 54 - 5\newlineThis gives us:\newline18x=4918x = 49
  4. Divide by 1818: Finally, divide both sides by 1818 to solve for x.\newline18x18=4918\frac{18x}{18} = \frac{49}{18}\newlinex=4918x = \frac{49}{18}

More problems from Find the roots of factored polynomials