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Solve page

Solve 5x + 2 = 2x + 11

This page is for a more specific long-tail linear search where x appears on both sides of the equation.

Problem

The specific expression or equation this page is built around.

5x + 2 = 2x + 11

The main idea is to gather all the x terms onto one side.

Then isolate the remaining coefficient of x.

Worked route

One structured route through this exact problem.

  1. 1Subtract 2x from both sides.
  2. 2That gives 3x + 2 = 11.
  3. 3Subtract 2 from both sides to get 3x = 9.
  4. 4Divide both sides by 3.
  5. 5So x = 3.
Checks worth making

Use these quick checks before relying on the route.

  • Substitute x = 3 into both sides and compare the totals.
  • Check that both sides evaluate to 17.
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