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23 September, 04:13

Solve the equation x + 0.7 = 1 - 0.2x in two different ways. Then check your answer. Show your work!

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Answers (1)
  1. 23 September, 08:03
    0
    Simplifying

    x + 0.7 = 1 + - 0.2x

    Reorder the terms:

    0.7 + x = 1 + - 0.2x

    Solving

    0.7 + x = 1 + - 0.2x

    Solving for variable 'x'.

    Move all terms containing x to the left, all other terms to the right.

    Add '0.2x' to each side of the equation.

    0.7 + x + 0.2x = 1 + - 0.2x + 0.2x

    Combine like terms: x + 0.2x = 1.2x

    0.7 + 1.2x = 1 + - 0.2x + 0.2x

    Combine like terms: - 0.2x + 0.2x = 0.0

    0.7 + 1.2x = 1 + 0.0

    0.7 + 1.2x = 1

    Add '-0.7' to each side of the equation.

    0.7 + - 0.7 + 1.2x = 1 + - 0.7

    Combine like terms: 0.7 + - 0.7 = 0.0

    0.0 + 1.2x = 1 + - 0.7

    1.2x = 1 + - 0.7

    Combine like terms: 1 + - 0.7 = 0.3

    1.2x = 0.3

    Divide each side by '1.2'.

    x = 0.25

    Simplifying

    x = 0.25

    I only know 1 way.
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