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Solve for [tex] x [/tex]:

[tex]\[ (x + 4.2) - 5 \frac{1}{2} = 3 \frac{7}{50} \][/tex]


Sagot :

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]