Solve: 120 = 8x+56

Answer

x = 8

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Step-by-Step Breakdown

  1. Expand and simplify the left-hand side: 120 = 120
  2. Expand and simplify the right-hand side: 8x+56 = 8x + 56
  3. Move every term to one side so the equation reads "...= 0": -8x + 64 = 0
  4. This is a linear equation of the form ax+b=0, with a=-8 and b=64.
  5. Solve for x: x = -b/a = -(64)/-8 = 8

Theory & Definitions

A linear equation in one unknown can always be rearranged into the form ax+b=0 (a≠0), which has exactly one solution: x = -b/a.

Frequently Asked Questions

What is the solution to 120 = 8x+56?

x = 8.

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