To solve the equation [tex]\( -9x + 0.4 = 4 \)[/tex] step-by-step, follow these operations:
1. Move the constant term [tex]\(0.4\)[/tex] to the right side of the equation.
- Subtract [tex]\(0.4\)[/tex] from both sides:
[tex]\[
-9x + 0.4 - 0.4 = 4 - 0.4
\][/tex]
This simplifies to:
[tex]\[
-9x = 3.6
\][/tex]
2. Isolate the variable [tex]\(x\)[/tex] by dividing both sides of the equation by [tex]\(-9\)[/tex].
- Perform the division:
[tex]\[
\frac{-9x}{-9} = \frac{3.6}{-9}
\][/tex]
This simplifies to:
[tex]\[
x = -0.4
\][/tex]
So, the solution to the equation is [tex]\( x = -0.4 \)[/tex].
The steps in order are:
1. Subtract 0.4 from both sides
2. Divide both sides by -9
3. [tex]\(x = -0.4\)[/tex]
The solution to the equation is [tex]\( x = -0.4 \)[/tex].
