Question

1. solve -2(3x - 5) = 4x - 8 - x

Explanation:

Step1: Expand the left - hand side

Using the distributive property $a(b - c)=ab - ac$, we have $-2(3x - 5)=-6x + 10$. So the equation becomes $-6x + 10=4x-8 - x$.

Step2: Combine like terms on the right - hand side

Combine $4x$ and $-x$ on the right - hand side: $4x-8 - x = 3x-8$. So the equation is now $-6x + 10=3x-8$.

Step3: Add $6x$ to both sides

$-6x+6x + 10=3x+6x-8$, which simplifies to $10 = 9x-8$.

Step4: Add 8 to both sides

$10 + 8=9x-8 + 8$, resulting in $18 = 9x$.

Step5: Solve for $x$

Divide both sides by 9: $\frac{18}{9}=\frac{9x}{9}$, so $x = 2$.

Answer:

$x = 2$