Let's solve the equation step-by-step.
The given equation is:
[tex]\[ -3x + 7 = 19 \][/tex]
Step 1: Isolate the term with [tex]\(x\)[/tex] by moving constants to the other side.
To do this, subtract 7 from both sides of the equation:
[tex]\[ -3x + 7 - 7 = 19 - 7 \][/tex]
This simplifies to:
[tex]\[ -3x = 12 \][/tex]
Step 2: Solve for [tex]\(x\)[/tex] by isolating [tex]\(x\)[/tex].
To isolate [tex]\(x\)[/tex], divide both sides of the equation by -3:
[tex]\[ x = \frac{12}{-3} \][/tex]
This gives us:
[tex]\[ x = -4 \][/tex]
Solution:
The solution to the equation [tex]\(-3x + 7 = 19\)[/tex] is:
[tex]\[ x = -4 \][/tex]