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What is the solution for [tex]$x$[/tex] in the equation?
[tex]$
\begin{array}{l}
10x - 4.5 + 3x = 12x - 1.1 \\
x = \square
\end{array}
$[/tex]

Sagot :

GinnyAnswer
Sure, let's solve the equation step by step:

1. Start with the original equation:
[tex]\[ 10x - 4.5 + 3x = 12x - 1.1 \][/tex]

2. 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]

3. Move all [tex]\( x \)[/tex] terms to one side and the 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]

4. Add 4.5 to both sides to solve for [tex]\( x \)[/tex]:
[tex]\[ x - 4.5 + 4.5 = -1.1 + 4.5 \][/tex]
[tex]\[ x = 3.4 \][/tex]

Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 3.4 \)[/tex]. Please type it in the box:

[tex]\[ x = 3.4 \][/tex]
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