Question

1. $7x - 5 = 10x - x - 15$

Explanation:

Step1: Simplify the right - hand side

Combine like terms on the right - hand side: $10x−x−15 = 9x−15$. So the equation becomes $7x−5 = 9x−15$.

Step2: Move the $x$ terms to one side

Subtract $7x$ from both sides: $7x−7x−5=9x−7x - 15$, which simplifies to $-5 = 2x−15$.

Step3: Move the constant terms to one side

Add 15 to both sides: $-5 + 15=2x−15 + 15$, resulting in $10 = 2x$.

Step4: Solve for $x$

Divide both sides by 2: $\frac{10}{2}=\frac{2x}{2}$, so $x = 5$.

Answer:

$x = 5$