Question

original equation: we have that x = - 9 (2) 102 = 69 - 7x + 3x check:

Explanation:

Step1: Combine like - terms

Combine the $x$ terms on the right - hand side of the equation $102 = 69-7x + 3x$. So, $-7x+3x=-4x$, and the equation becomes $102 = 69-4x$.

Step2: Isolate the term with $x$

Subtract 69 from both sides of the equation. $102 - 69=69-4x - 69$, which simplifies to $33=-4x$.

Step3: Solve for $x$

Divide both sides of the equation by - 4. $x=\frac{33}{-4}=-\frac{33}{4}=-8.25$.

Answer:

$x = - 8.25$