To solve the equation [tex]\(10x - 4.5 + 3x = 12x - 1.1\)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Combine like terms on the left side of the equation:
[tex]\[
(10x + 3x) - 4.5 = 12x - 1.1
\][/tex]
[tex]\[
13x - 4.5 = 12x - 1.1
\][/tex]
2. Move all terms involving [tex]\( x \)[/tex] to one side of the equation and constants to the other side. Subtract [tex]\( 12x \)[/tex] from both sides:
[tex]\[
13x - 12x - 4.5 = -1.1
\][/tex]
[tex]\[
x - 4.5 = -1.1
\][/tex]
3. Add 4.5 to both sides to isolate [tex]\( x \)[/tex]:
[tex]\[
x - 4.5 + 4.5 = -1.1 + 4.5
\][/tex]
[tex]\[
x = 3.4
\][/tex]
So, the solution for [tex]\( x \)[/tex] is:
[tex]\[
x = 3.4
\][/tex]
