Solving the Equation 5x + 3x = 0

To solve the equation 5x + 3x = 0, follow these steps: 1. **Combine Like Terms:** - The equation 5x + 3x = 0 involves terms that are similar, specifically terms with 'x'. - Add the coefficients of x together: 5x + 3x = (5 + 3)x = 8x. - Now, the equation simplifies to 8x = 0. 2. **Isolate the Variable:** - Divide both sides of the equation by 8 to solve for x. - 8x / 8 = 0 / 8 - This simplifies to x = 0. 3. **Verify the Solution:** - Substitute x = 0 back into the original equation to check the solution. - 5(0) + 3(0) = 0, which holds true. Therefore, the solution to the equation is x = 0. This process illustrates how to combine like terms and isolate variables to solve linear equations.