Question

1. 3(x - 2)-(x + 5)=17

Explanation:

Step1: Expand the expressions

$3(x - 2)-(x + 5)=3x-6 - x - 5$

Step2: Combine like - terms

$3x-6 - x - 5=(3x - x)+(-6 - 5)=2x-11$
So the equation becomes $2x-11 = 17$.

Step3: Isolate the variable term

Add 11 to both sides of the equation: $2x-11 + 11=17 + 11$, which simplifies to $2x=28$.

Step4: Solve for x

Divide both sides of the equation by 2: $\frac{2x}{2}=\frac{28}{2}$, so $x = 14$.

Answer:

$x = 14$