{"id":224830,"date":"2025-05-16T02:16:33","date_gmt":"2025-05-16T02:16:33","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/what-is-the-solution-to-the-absolute-value-of-2x-5-21\/"},"modified":"2025-05-16T02:16:33","modified_gmt":"2025-05-16T02:16:33","slug":"what-is-the-solution-to-the-absolute-value-of-2x-5-21","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-is-the-solution-to-the-absolute-value-of-2x-5-21\/","title":{"rendered":"What is the solution to the absolute value of 2x-5 = 21?"},"content":{"rendered":"

The equation “absolute value of 2x-5 = 21” asks us to find the values of ‘x’ that make the given statement true. In this case, we are dealing with an absolute value equation, which means the solution may have multiple possibilities. To find the solution, we need to understand the concept of absolute value and apply appropriate strategies.<\/p>\n

Absolute value is a mathematical function that gives the magnitude or distance of a number from zero, ignoring its sign. It is denoted by two vertical lines enclosing the number, like |x|. <\/p>\n

In the given equation |2x-5| = 21, we can rewrite it as two separate equations with their signs changed:
\n1. 2x-5 = 21: When the expression inside the absolute value bars is positive.
\n2. -(2x-5) = 21: When the expression inside the absolute value bars is negative.<\/p>\n

Solving the first equation:
\n2x – 5 = 21
\nAdding 5 to both sides:
\n2x = 26
\nDividing both sides by 2:
\nx = 13<\/p>\n

Solving the second equation:
\n-(2x – 5) = 21
\nDistributing the negative sign:
\n-2x + 5 = 21
\nSubtracting 5 from both sides:
\n-2x = 16
\nDividing both sides by -2:
\nx = -8<\/p>\n

Therefore, the two solutions to the equation |2x-5| = 21 are x = 13 and x = -8.<\/p>\n

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