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8 September, 17:52

4 (x-3) - r+2x=5 (3x-7) - 9x

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  1. 8 September, 18:14
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    4 (x + - 3) + - 1r + 2x = 5 (3x + - 7) + - 9x

    Reorder the terms:

    4 (-3 + x) + - 1r + 2x = 5 (3x + - 7) + - 9x

    (-3 * 4 + x * 4) + - 1r + 2x = 5 (3x + - 7) + - 9x

    (-12 + 4x) + - 1r + 2x = 5 (3x + - 7) + - 9x

    Reorder the terms:

    -12 + - 1r + 4x + 2x = 5 (3x + - 7) + - 9x

    Combine like terms: 4x + 2x = 6x

    -12 + - 1r + 6x = 5 (3x + - 7) + - 9x

    Reorder the terms:

    -12 + - 1r + 6x = 5 (-7 + 3x) + - 9x

    -12 + - 1r + 6x = (-7 * 5 + 3x * 5) + - 9x

    -12 + - 1r + 6x = (-35 + 15x) + - 9x

    Combine like terms: 15x + - 9x = 6x

    -12 + - 1r + 6x = - 35 + 6x

    Add '-6x' to each side of the equation.

    -12 + - 1r + 6x + - 6x = - 35 + 6x + - 6x

    Combine like terms: 6x + - 6x = 0

    -12 + - 1r + 0 = - 35 + 6x + - 6x

    -12 + - 1r = - 35 + 6x + - 6x

    Combine like terms: 6x + - 6x = 0

    -12 + - 1r = - 35 + 0

    -12 + - 1r = - 35

    Solving

    -12 + - 1r = - 35

    Solving for variable 'r'.

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

    Add '12' to each side of the equation.

    -12 + 12 + - 1r = - 35 + 12

    Combine like terms: - 12 + 12 = 0

    0 + - 1r = - 35 + 12

    -1r = - 35 + 12

    Combine like terms: - 35 + 12 = - 23

    -1r = - 23

    Divide each side by '-1'.

    r = 23

    result

    r = 23
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