question\nsolve for x.\n5(-2x + 4) - x + 3 = 34

Explanation:

Step1: Expand the expression

$5(-2x + 4)-x + 3=34$ becomes $-10x+20 - x+3 = 34$.

Step2: Combine like - terms

Combining $-10x$ and $-x$, and $20$ and $3$, we get $(-10x - x)+(20 + 3)=34$, which simplifies to $-11x+23 = 34$.

Step3: Isolate the term with x

Subtract 23 from both sides: $-11x+23 - 23=34 - 23$, resulting in $-11x = 11$.

Step4: Solve for x

Divide both sides by - 11: $\frac{-11x}{-11}=\frac{11}{-11}$, so $x=-1$.

Answer:

$x = - 1$