To solve the equation [tex]\(10x - 4.5 + 3x = 12x - 1.1\)[/tex], let's follow these steps:
1. Combine like terms on the left side of the equation:
[tex]\[
10x + 3x - 4.5 = 12x - 1.1
\][/tex]
Simplifying the left side, we get:
[tex]\[
13x - 4.5 = 12x - 1.1
\][/tex]
2. Move all terms involving [tex]\(x\)[/tex] to one side of the equation by subtracting [tex]\(12x\)[/tex] from both sides:
[tex]\[
13x - 12x - 4.5 = -1.1
\][/tex]
Simplifying the terms involving [tex]\(x\)[/tex], we get:
[tex]\[
x - 4.5 = -1.1
\][/tex]
3. Isolate [tex]\(x\)[/tex] by adding 4.5 to both sides of the equation:
[tex]\[
x - 4.5 + 4.5 = -1.1 + 4.5
\][/tex]
Simplifying the right side, we get:
[tex]\[
x = 3.4
\][/tex]
Thus, the solution for [tex]\(x\)[/tex] is [tex]\(3.4\)[/tex].
