<p>Solve a given equation and return the value of <code>&#39;x&#39;</code> in the form of a string <code>&quot;x=#value&quot;</code>. The equation contains only <code>&#39;+&#39;</code>, <code>&#39;-&#39;</code> operation, the variable <code>&#39;x&#39;</code> and its coefficient. You should return <code>&quot;No solution&quot;</code> if there is no solution for the equation, or <code>&quot;Infinite solutions&quot;</code> if there are infinite solutions for the equation.</p>

<p>If there is exactly one solution for the equation, we ensure that the value of <code>&#39;x&#39;</code> is an integer.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> equation = &quot;x+5-3+x=6+x-2&quot;
<strong>Output:</strong> &quot;x=2&quot;
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> equation = &quot;x=x&quot;
<strong>Output:</strong> &quot;Infinite solutions&quot;
</pre>

<p><strong class="example">Example 3:</strong></p>

<pre>
<strong>Input:</strong> equation = &quot;2x=x&quot;
<strong>Output:</strong> &quot;x=0&quot;
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>3 &lt;= equation.length &lt;= 1000</code></li>
	<li><code>equation</code> has exactly one <code>&#39;=&#39;</code>.</li>
	<li><code>equation</code> consists of integers with an absolute value in the range <code>[0, 100]</code> without any leading zeros, and the variable <code>&#39;x&#39;</code>.</li>
	<li>The input is generated that if there is a single solution, it will be an integer.</li>
</ul>

class Solution:
    def solveEquation(self, equation: str) -> str:
        # Split the equation into left and right sides
        left, right = equation.split('=')
        
        # Initialize coefficients and constants
        x_coeff = 0
        constant = 0
        
        # Helper function to process each side of the equation
        def process_side(side, sign):
            nonlocal x_coeff, constant
            terms = side.replace('-', '+-').split('+')
            for term in terms:
                if term == '':
                    continue
                if 'x' == term[-1]:
                    if term == 'x':
                        x_coeff += sign
                    elif term == '-x':
                        x_coeff -= sign
                    else:
                        x_coeff += sign * int(term[:-1])
                else:
                    constant -= sign * int(term)
        
        # Process both sides of the equation
        process_side(left, 1)
        process_side(right, -1)
        
        # Solve the equation
        if x_coeff == 0 and constant == 0:
            return "Infinite solutions"
        elif x_coeff == 0:
            return "No solution"
        else:
            x = constant // x_coeff
            return f"x={x}"
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