-4(4x-9)=5(12-4x)

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Solution for -4(4x-9)=5(12-4x) equation:


Simplifying
-4(4x + -9) = 5(12 + -4x)

Reorder the terms:
-4(-9 + 4x) = 5(12 + -4x)
(-9 * -4 + 4x * -4) = 5(12 + -4x)
(36 + -16x) = 5(12 + -4x)
36 + -16x = (12 * 5 + -4x * 5)
36 + -16x = (60 + -20x)

Solving
36 + -16x = 60 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
36 + -16x + 20x = 60 + -20x + 20x

Combine like terms: -16x + 20x = 4x
36 + 4x = 60 + -20x + 20x

Combine like terms: -20x + 20x = 0
36 + 4x = 60 + 0
36 + 4x = 60

Add '-36' to each side of the equation.
36 + -36 + 4x = 60 + -36

Combine like terms: 36 + -36 = 0
0 + 4x = 60 + -36
4x = 60 + -36

Combine like terms: 60 + -36 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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