Simplify Both Sides: Step Title: Simplify Both Sides Concise Step Description: Combine like terms on both sides of the equation. Step Calculation: On the right side, 3 - 8 simplifies to -5. So, the equation becomes 6x + 9 = -5 + 8x. Step Output: 6x + 9 = -5 + 8xMove Variables to One Side: Step Title: Move Variables to One Side Concise Step Description: Subtract 6x from both sides to isolate x on one side. Step Calculation: -5 + 8x - 6x = 6x + 9 - 6x, which simplifies to -5 + 2x = 9. Step Output: -5 + 2x = 9Isolate the Variable: Step Title: Isolate the Variable Concise Step Description: Add 5 to both sides to solve for x. Step Calculation: -5 + 5 + 2x = 9 + 5, which simplifies to 2x = 14. Step Output: 2x = 14Solve for x: Step Title: Solve for x Concise Step Description: Divide both sides by 2 to find the value of x. Step Calculation: 2x / 2 = 14 / 2, which simplifies to x = 7. Step Output: x = 7

Algebra 2

Factor polynomials

Full solution

Q. Solve.

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6 x+9=3+8 x-8

Simplify Both Sides: Step Title: Simplify Both Sides $\newline$ Concise Step Description: Combine like terms on both sides of the equation. $\newline$ Step Calculation: On the right side, $3 - 8$ simplifies to $-5$ . So, the equation becomes $6x + 9 = -5 + 8x$ . $\newline$ Step Output: $6x + 9 = -5 + 8x$
Move Variables to One Side: Step Title: Move Variables to One Side $\newline$ Concise Step Description: Subtract $6x$ from both sides to isolate $x$ on one side. $\newline$ Step Calculation: $-5 + 8x - 6x = 6x + 9 - 6x$ , which simplifies to $-5 + 2x = 9$ . $\newline$ Step Output: $-5 + 2x = 9$
Isolate the Variable: Step Title: Isolate the Variable $\newline$ Concise Step Description: Add $5$ to both sides to solve for $x$ . $\newline$ Step Calculation: $-5 + 5 + 2x = 9 + 5$ , which simplifies to $2x = 14$ . $\newline$ Step Output: $2x = 14$
Solve for x: Step Title: Solve for x $\newline$ Concise Step Description: Divide both sides by $2$ to find the value of $x$ . $\newline$ Step Calculation: $\frac{2x}{2} = \frac{14}{2}$ , which simplifies to $x = 7$ . $\newline$ Step Output: $x = 7$