Sure, let's solve the equation step-by-step.
The given equation is:
[tex]\[ -4x + 3 = 43 \][/tex]
Step 1: Isolate the term with the variable.
We start by isolating the term with [tex]\( x \)[/tex] on one side. To do this, we need to get rid of the constant term [tex]\( +3 \)[/tex] on the left side. We can achieve this by subtracting 3 from both sides of the equation:
[tex]\[ -4x + 3 - 3 = 43 - 3 \][/tex]
This simplifies to:
[tex]\[ -4x = 40 \][/tex]
Step 2: Solve for [tex]\( x \)[/tex].
Now, we need to isolate [tex]\( x \)[/tex] by getting rid of the coefficient [tex]\(-4\)[/tex] that is multiplying [tex]\( x \)[/tex]. We do this by dividing both sides of the equation by [tex]\(-4\)[/tex]:
[tex]\[ x = \frac{40}{-4} \][/tex]
Step 3: Simplify the division.
Perform the division:
[tex]\[ x = -10 \][/tex]
So, the solution to the equation [tex]\( -4x + 3 = 43 \)[/tex] is:
[tex]\[ x = -10 \][/tex]
Thus, the value of [tex]\( x \)[/tex] is [tex]\(-10\)[/tex].
