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(2x-5)+(4x-7)=180

less than a minute read Jun 16, 2024
(2x-5)+(4x-7)=180

Solving the Equation: (2x-5) + (4x-7) = 180

This equation involves combining like terms and isolating the variable 'x' to find its solution. Here's a step-by-step guide:

1. Combine Like Terms

  • Identify the terms with 'x' and the constant terms:
    • 2x + 4x = 6x
    • -5 - 7 = -12
  • Rewrite the equation: 6x - 12 = 180

2. Isolate the Variable 'x'

  • Add 12 to both sides of the equation:
    • 6x - 12 + 12 = 180 + 12
    • 6x = 192

3. Solve for 'x'

  • Divide both sides of the equation by 6:
    • 6x / 6 = 192 / 6
    • x = 32

Solution

Therefore, the solution to the equation (2x-5) + (4x-7) = 180 is x = 32.

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