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What is the solution for [tex]\( x \)[/tex] in the equation?

[tex]\[ 10x - 4.5 + 3x = 12x - 1.1 \][/tex]

[tex]\( x = \boxed{} \)[/tex]


Sagot :

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]