To solve the equation [tex]\(10x - 4.5 + 3x = 12x - 1.1\)[/tex], follow these steps:
1. Combine like terms on the left side of the equation:
[tex]\[10x + 3x - 4.5 = 12x - 1.1\][/tex]
Which simplifies to:
[tex]\[13x - 4.5 = 12x - 1.1\][/tex]
2. Isolate the variable [tex]\(x\)[/tex] by moving all terms involving [tex]\(x\)[/tex] to one side of the equation and the constants to the other:
[tex]\[13x - 12x = -1.1 + 4.5\][/tex]
This simplifies to:
[tex]\[x = 3.4\][/tex]
Therefore, the solution for [tex]\(x\)[/tex] is:
[tex]\[x = 3.4\][/tex]
