Question

solve.
5x + 28(x - 4) = 251
x = \square
(simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Expand the bracket

First, we expand \(28(x - 4)\) using the distributive property \(a(b - c)=ab - ac\). So, \(28(x - 4)=28x-28\times4 = 28x - 112\). The equation becomes \(5x+28x - 112 = 251\).

Step2: Combine like terms

Combine the \(x\)-terms: \(5x+28x=(5 + 28)x=33x\). Now the equation is \(33x-112 = 251\).

Step3: Isolate the variable term

Add 112 to both sides of the equation to isolate the term with \(x\). So, \(33x-112 + 112=251 + 112\), which simplifies to \(33x=363\).

Step4: Solve for \(x\)

Divide both sides by 33: \(x=\frac{363}{33}\). Simplifying the fraction, we find that \(363\div33 = 11\).

Answer:

\(11\)