Question

-5 - 3(6x - 8) = -5x + 19

Explanation:

Step1: Expand the left - hand side

Using the distributive property \(a(b + c)=ab+ac\), for \(-3(6x - 8)\), we have \(-3\times6x-(-3)\times8=-18x + 24\). Then the original equation \(-5-3(6x - 8)=-5x + 19\) becomes \(-5-18x + 24=-5x + 19\).
Simplify the left - hand side: \((-5 + 24)-18x=-5x + 19\), that is \(19-18x=-5x + 19\).

Step2: Move the terms with \(x\) to one side

Add \(18x\) to both sides of the equation: \(19-18x + 18x=-5x+18x + 19\).
Simplify: \(19 = 13x+19\).

Step3: Solve for \(x\)

Subtract 19 from both sides: \(19 - 19=13x+19 - 19\).
Simplify: \(0 = 13x\), then \(x = 0\).

Answer:

\(x = 0\)