Certainly! Let's go through the steps to solve the equation [tex]\(1.2x - 7.2x + 5 = -7\)[/tex] in detail.
1. Combine like terms:
[tex]\[
1.2x - 7.2x + 5 = -7
\][/tex]
Combine the [tex]\(1.2x\)[/tex] and [tex]\(-7.2x\)[/tex]:
[tex]\[
(1.2 - 7.2)x + 5 = -7
\][/tex]
[tex]\[
-6x + 5 = -7
\][/tex]
2. Isolate the variable term:
[tex]\[
-6x + 5 = -7
\][/tex]
Subtract 5 from both sides to move the constant term to the right side:
[tex]\[
-6x + 5 - 5 = -7 - 5
\][/tex]
Simplify:
[tex]\[
-6x = -12
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
[tex]\[
-6x = -12
\][/tex]
Divide both sides by [tex]\(-6\)[/tex] to isolate [tex]\(x\)[/tex]:
[tex]\[
\frac{-6x}{-6} = \frac{-12}{-6}
\][/tex]
Simplify:
[tex]\[
x = 2
\][/tex]
Therefore, the solution to the equation [tex]\(1.2x - 7.2x + 5 = -7\)[/tex] is [tex]\(x = 2\)[/tex].
