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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
To find the solution for \( x \) in the given equation:

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

we follow these steps:

1. Combine like terms on both sides of the equation.

On the left side, combine \( 10x \) and \( 3x \):
[tex]\[ 10x + 3x - 4.5 = 13x - 4.5 \][/tex]

The equation now looks like:
[tex]\[ 13x - 4.5 = 12x - 1.1 \][/tex]

2. Move all terms involving \( x \) to one side of the equation and constants to the other side.

Subtract \( 12x \) from both sides to isolate \( x \):
[tex]\[ 13x - 12x - 4.5 = -1.1 \][/tex]

Simplify by combining like terms:
[tex]\[ x - 4.5 = -1.1 \][/tex]

3. Solve for \( x \) by isolating it.

Add 4.5 to both sides of the equation:
[tex]\[ x = -1.1 + 4.5 \][/tex]

Simplify the result:
[tex]\[ x = 3.4 \][/tex]

Therefore, the solution for \( x \) is:
[tex]\[ x = 3.4 \][/tex]
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