To solve the equation [tex]\( 10x - 4.5 + 3x = 12x - 1.1 \)[/tex], follow these steps:
1. Combine like terms on each side of the equation:
[tex]\[
(10x + 3x) - 4.5 = 12x - 1.1
\][/tex]
This simplifies to:
[tex]\[
13x - 4.5 = 12x - 1.1
\][/tex]
2. Isolate the variable [tex]\(x\)[/tex] on one side of the equation. To do this, subtract [tex]\(12x\)[/tex] from both sides:
[tex]\[
13x - 12x - 4.5 = 12x - 12x - 1.1
\][/tex]
This simplifies to:
[tex]\[
x - 4.5 = -1.1
\][/tex]
3. Solve for [tex]\(x\)[/tex] by adding [tex]\(4.5\)[/tex] to both sides:
[tex]\[
x - 4.5 + 4.5 = -1.1 + 4.5
\][/tex]
This simplifies to:
[tex]\[
x = 3.4
\][/tex]
The solution for [tex]\(x\)[/tex] in the given equation is:
[tex]\[
x = 3.4
\][/tex]
