Question

question
solve for x.
4(-2x + 5) + 5x + 4 = 27

Explanation:

Step1: Expand the expression

$4(-2x + 5)=-8x+20$, so the equation becomes $-8x + 20+5x + 4=27$.

Step2: Combine like - terms

Combine the $x$ terms and the constant terms: $(-8x+5x)+(20 + 4)=27$, which simplifies to $-3x+24 = 27$.

Step3: Isolate the term with $x$

Subtract 24 from both sides: $-3x+24-24=27 - 24$, resulting in $-3x=3$.

Step4: Solve for $x$

Divide both sides by - 3: $\frac{-3x}{-3}=\frac{3}{-3}$, so $x=-1$.

Answer:

$x = - 1$