Question

question
solve the following equation for x:
\\(-5(x - 6) - 2 = 5 + (x - 1)\\)
enter your answer as a fraction if necessary.
provide your answer below:
\\(x = \square\\)

Explanation:

Step1: Expand the brackets

First, we expand the left - hand side and the right - hand side of the equation.
For the left - hand side: \(-5(x - 6)-2=-5x+30 - 2=-5x + 28\)
For the right - hand side: \(5+(x - 1)=5+x - 1=x + 4\)
So the equation becomes \(-5x+28=x + 4\)

Step2: Move the terms with x to one side

Subtract \(x\) from both sides: \(-5x - x+28=x - x+4\), which simplifies to \(-6x+28 = 4\)

Step3: Move the constant terms to the other side

Subtract 28 from both sides: \(-6x+28 - 28=4 - 28\), which gives \(-6x=-24\)

Step4: Solve for x

Divide both sides by \(-6\): \(x=\frac{-24}{-6}=4\)

Answer:

\(x = 4\)