$-4(5x - 4)+5x + 3 = 34$

Explanation:

Step1: Expand the expression

$-4(5x - 4)=-20x + 16$, so the equation becomes $-20x+16 + 5x+3 = 34$.

Step2: Combine like - terms

Combine the $x$ terms and the constant terms: $(-20x + 5x)+(16 + 3)=34$, which simplifies to $-15x+19 = 34$.

Step3: Isolate the variable term

Subtract 19 from both sides: $-15x+19 - 19=34 - 19$, resulting in $-15x = 15$.

Step4: Solve for $x$

Divide both sides by - 15: $\frac{-15x}{-15}=\frac{15}{-15}$, so $x=-1$.

Answer:

$x = - 1$