Question

solve.
$6 - 4x = 7x - 9x - 8$

Explanation:

Step1: Combine like terms on the right side

First, we look at the terms with \( x \) on the right side: \( 7x - 9x \). Combining these, we use the rule of combining like terms (subtracting the coefficients): \( 7x-9x=(7 - 9)x=- 2x \). So the equation becomes \( 6-4x=-2x - 8 \) (assuming the last term is \(-8\) as the original might have a typo, maybe \( - 8\) instead of \( - 0\) or a misprint).

Step2: Add \( 4x \) to both sides

To get all the \( x \) terms on one side, we add \( 4x \) to both sides of the equation \( 6-4x=-2x - 8 \).
Left side: \( 6-4x + 4x=6 \)
Right side: \( -2x-8 + 4x=( - 2x+4x)-8 = 2x-8 \)
So now the equation is \( 6 = 2x-8 \)

Step3: Add 8 to both sides

To isolate the term with \( x \), we add 8 to both sides.
Left side: \( 6 + 8=14 \)
Right side: \( 2x-8 + 8=2x \)
So we have \( 14 = 2x \)

Step4: Divide both sides by 2

To solve for \( x \), we divide both sides of the equation \( 14 = 2x \) by 2.
\( \frac{14}{2}=\frac{2x}{2} \)
Simplifying, we get \( x = 7 \)

Answer:

\( x = 7 \)