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17 April, 11:11

Solve. State the number of solutions.

a. 3/2x - 10 = 2

b. 2 (2x-2) = 4x - 4

c. 3 (x+1) = 4x + 7 - x

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  1. 17 April, 11:56
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    a. x=8

    b. Step 1: Simplify both sides of the equation.

    2 (2x-2) = 4x-4

    (2) (2x) + (2) (-2) = 4x+-4 (Distribute)

    4x+-4=4x+-4

    4x-4=4x-4

    Step 2: Subtract 4x from both sides.

    4x-4-4x=4x-4-4x

    -4=-4

    Step 3: Add 4 to both sides.

    -4+4=-4+4

    0=0

    Answer:

    All real numbers are solutions.

    c. Step 1: Simplify both sides of the equation.

    3 (x+1) = 4x+7-x

    (3) (x) + (3) (1) = 4x+7+-x (Distribute)

    3x+3=4x+7+-x

    3x+3 = (4x+-x) + (7) (Combine Like Terms)

    3x+3=3x+7

    3x+3=3x+7

    Step 2: Subtract 3x from both sides.

    3x+3-3x=3x+7-3x

    3=7

    Step 3: Subtract 3 from both sides.

    3-3=7-3

    0=4

    all credit goes to mathpapa
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