How do you solve the equation 5x + 10 = 30 + 15x?

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To solve for x in the equation 5x + 10 = 30 + 15x, you need to isolate x on one side of the equation. Here’s a step-by-step approach:

  1. Start with the original equation:

    2. 5x + 10 = 30 + 15x

  2. Move the terms involving x to one side:

    3. Subtract 15x from both sides to get:

    5x – 15x + 10 = 30

    This simplifies to:

    -10x + 10 = 30

  3. Next, isolate the constant term:

    4. Subtract 10 from both sides:

    -10x = 30 – 10

    -10x = 20

  4. Finally, solve for x:

    5. To find x, divide both sides by -10:

    x = 20 / -10

    x = -2

Therefore, the solution to the equation 5x + 10 = 30 + 15x is:

x = -2

This process demonstrates how to manipulate an equation step by step to find the value of the variable.

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