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Simplify the algebraic express 5(2x-3y) - 2(3x-4y)

Mathematics

ScanSolve AI Answer

Answer

4x - 7y

Step-by-step solution

3 steps

Here's the solution to the algebraic expression:

: Simplify the algebraic expression 5(2x−3y)−2(3x−4y)5(2x - 3y) - 2(3x - 4y).

  1. Distribute the 5 into the first parenthesis and the −2-2 into the second parenthesis.

    5(2x−3y)−2(3x−4y)=(5×2x)+(5×−3y)+(−2×3x)+(−2×−4y)5(2x - 3y) - 2(3x - 4y) = (5 \times 2x) + (5 \times -3y) + (-2 \times 3x) + (-2 \times -4y) =10x−15y−6x+8y= 10x - 15y - 6x + 8y

  2. Group like terms together.

    =(10x−6x)+(−15y+8y)= (10x - 6x) + (-15y + 8y)

  3. Combine the like terms.

    =(10−6)x+(−15+8)y= (10 - 6)x + (-15 + 8)y =4x−7y= 4x - 7y 4x−7y4x - 7y
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