Question

solve for x.
-7x + 5(x - 3) = 5
simplify your answer as much as possible.
x =

Explanation:

Step1: Expand the brackets

First, we expand \(5(x - 3)\) using the distributive property \(a(b - c)=ab - ac\). So, \(5(x - 3)=5x-15\). The equation becomes \(-7x + 5x-15 = 5\).

Step2: Combine like terms

Combine the \(x\)-terms: \(-7x+5x=-2x\). So the equation is now \(-2x - 15 = 5\).

Step3: Isolate the variable term

Add 15 to both sides of the equation to isolate the term with \(x\). \(-2x-15 + 15=5 + 15\), which simplifies to \(-2x=20\).

Step4: Solve for x

Divide both sides by \(-2\) to solve for \(x\). \(\frac{-2x}{-2}=\frac{20}{-2}\), so \(x = - 10\).

Answer:

\(x=-10\)