Solving |2x - 3| = 7

December 10, 2025

Problem

Solve for x: |2x - 3| = 7

Explanation

This visualization shows how the absolute value equation |2x - 3| = 7 leads to two linear equations: 2x - 3 = 7 and 2x - 3 = -7, giving solutions x = 5 and x = -2. The graph displays both branches of y = |2x - 3| and the horizontal line y = 7. Their intersection points on the x-axis are the solutions.

Interactive Visualization

Parameters

40.00
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Solving |2x - 3| = 7 | MathSpin