To find the solution for \( x \) in the given equation:
[tex]\[
10x - 4.5 + 3x = 12x - 1.1
\][/tex]
we follow these steps:
1. Combine like terms on both sides of the equation.
On the left side, combine \( 10x \) and \( 3x \):
[tex]\[
10x + 3x - 4.5 = 13x - 4.5
\][/tex]
The equation now looks like:
[tex]\[
13x - 4.5 = 12x - 1.1
\][/tex]
2. Move all terms involving \( x \) to one side of the equation and constants to the other side.
Subtract \( 12x \) from both sides to isolate \( x \):
[tex]\[
13x - 12x - 4.5 = -1.1
\][/tex]
Simplify by combining like terms:
[tex]\[
x - 4.5 = -1.1
\][/tex]
3. Solve for \( x \) by isolating it.
Add 4.5 to both sides of the equation:
[tex]\[
x = -1.1 + 4.5
\][/tex]
Simplify the result:
[tex]\[
x = 3.4
\][/tex]
Therefore, the solution for \( x \) is:
[tex]\[
x = 3.4
\][/tex]
