Answer :

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]