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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 =[/tex] [tex]\square[/tex]

Sagot :

GinnyAnsweridn
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]
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