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3x-3\left(2-x\right)=4x+2\left(5-3x\right)

Question

3x-3\left(2-x\right)=4x+2\left(5-3x\right)

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Solution

Sure, let's solve the equation step by step.

  1. Distribute the numbers outside the parentheses on both sides of the equation:

    3x - 3*(2 - x) = 4x + 2*(5 - 3x)

    This simplifies to:

    3x - 6 + 3x = 4x + 10 - 6x

  2. Combine like terms on both sides:

    6x - 6 = -2x + 10

  3. Add 2x to both sides to get all the x terms on one side:

    6x + 2x = 10 + 6

  4. Simplify both sides:

    8x = 16

  5. Divide both sides by 8 to solve for x:

    x = 16 / 8

  6. Simplify to get the final answer:

    x = 2

So, the solution to the equation 3x - 3*(2 - x) = 4x + 2*(5 - 3x) is x = 2.

This problem has been solved

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