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Solve for [tex]\( x \)[/tex]:
[tex]\[ \sqrt{2} - 3 + 3 = x + 1 \][/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's solve the equation step-by-step.

### Given:
[tex]\[ \sqrt{2} - 3 + 3 = x + 1 \][/tex]

1. Simplify the left-hand side of the equation:

[tex]\[ \sqrt{2} - 3 + 3 \][/tex]

Since [tex]\(-3 + 3\)[/tex] equals [tex]\(0\)[/tex], we can simplify this to:

[tex]\[ \sqrt{2} \][/tex]

So the equation now looks like:

[tex]\[ \sqrt{2} = x + 1 \][/tex]

2. Isolate the variable [tex]\(x\)[/tex]:

To isolate [tex]\(x\)[/tex], subtract [tex]\(1\)[/tex] from both sides of the equation:

[tex]\[ \sqrt{2} - 1 = x \][/tex]

or equivalently,

[tex]\[ x = \sqrt{2} - 1 \][/tex]

### Solution:

The equation [tex]\( \sqrt{2} - 3 + 3 = x + 1 \)[/tex] simplifies to [tex]\( \sqrt{2} = x + 1 \)[/tex]. After solving for [tex]\(x\)[/tex], we find:

[tex]\[ x = -1 + \sqrt{2} \][/tex]

Therefore, the solution to the equation is:

[tex]\[ x = -1 + \sqrt{2} \][/tex]
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