Sure, let's solve the equation step-by-step.
Given equation:
[tex]\[ 5.1 = -3x - 4.2 \][/tex]
### Step 1: Add 4.2 to both sides
To isolate the term with [tex]\( x \)[/tex] on one side, you need to get rid of the [tex]\(-4.2\)[/tex] on the right side by adding [tex]\( 4.2 \)[/tex] to both sides of the equation.
[tex]\[ 5.1 + 4.2 = -3x - 4.2 + 4.2 \][/tex]
This simplifies to:
[tex]\[ 9.3 = -3x \][/tex]
### Step 2: Divide both sides by -3
Now, to solve for [tex]\( x \)[/tex], you need to divide both sides by [tex]\(-3\)[/tex]:
[tex]\[ \frac{9.3}{-3} = \frac{-3x}{-3} \][/tex]
This simplifies to:
[tex]\[ x = -3.1 \][/tex]
Thus, the solution is:
[tex]\[ x = -3.1 \][/tex]
