12 (2x - 8) = 4 (5 - 2x) + 3 (7 - 3x)

Question

Payton Higgins

Mathematics

1 August, 20:03

12 (2x - 8) = 4 (5 - 2x) + 3 (7 - 3x)

+2

Answers (2)

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Tristan Frost · Answer 1

12 (2x - 8) = 4 (5 - 2x) + 3 (7 - 3x)

24x - 96 = 20 - 8x + 21 - 9x

24x - 96 = - 17x + 41

24x + 17x = 41 + 96

41x = 137

x = 137/41 <==

Acevedo · Answer 2

Simplify both sides of the equation:

12 (2x - 8) = 4 (5 - 2x) + 3 (7 - 3x)

(12) (2x) + (12) (-8) = (4) (5) + (4) ( - 2x) + (3) (7) + (3) ( - 3x) * Distribute*

24x + - 96 = 20 + - 8x + 21 + - 9x

24x - 96 = ( - 8x + - 9x) + (20 + 21) * Combine Like Terms*

24x - 96 = - 17x + 41

*Add 17x to both sides.*

24x - 96 + 17x = - 17x + 41 + 17x

41x - 96 = 41

*Add 96 to both sides.*

41x - 96 + 96 = 41 + 96

41x = 137

*Divide both sides by 41.*

41x / 41 = 137/41

x = 137/41