Of course! Let's go through the problem step-by-step to solve for [tex]\( x \)[/tex].
Given the equation:
[tex]\[
(x + 4.2) - 5.5 = 3.14
\][/tex]
1. Combine like terms on the left side:
Simplify the left-hand side by combining the constants inside the parentheses:
[tex]\[
x + 4.2 - 5.5
\][/tex]
2. Simplify the constants:
Subtract [tex]\( 5.5 \)[/tex] from [tex]\( 4.2 \)[/tex]:
[tex]\[
4.2 - 5.5 = -1.3
\][/tex]
So, the equation now becomes:
[tex]\[
x - 1.3 = 3.14
\][/tex]
3. Isolate [tex]\( x \)[/tex]:
To solve for [tex]\( x \)[/tex], add [tex]\( 1.3 \)[/tex] to both sides of the equation:
[tex]\[
x - 1.3 + 1.3 = 3.14 + 1.3
\][/tex]
This simplifies to:
[tex]\[
x = 4.44
\][/tex]
So, the solution to the equation is:
[tex]\[
x = 4.44
\][/tex]
