To solve the equation [tex]\(-3x + 6 = 5\)[/tex], you need to isolate the variable [tex]\(x\)[/tex]. Here is the detailed, step-by-step process:
1. Start with the original equation:
[tex]\[
-3x + 6 = 5
\][/tex]
2. The first step is to get rid of the constant term (6) on the left side. To do this, you should subtract 6 from both sides of the equation:
[tex]\[
-3x + 6 - 6 = 5 - 6
\][/tex]
3. This simplifies the equation to:
[tex]\[
-3x = -1
\][/tex]
Hence, the first step is to subtract 6 from both sides.