9(36x-36-4x-20)=144(x+5)

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Solution for 9(36x-36-4x-20)=144(x+5) equation:


Simplifying
9(36x + -36 + -4x + -20) = 144(x + 5)

Reorder the terms:
9(-36 + -20 + 36x + -4x) = 144(x + 5)

Combine like terms: -36 + -20 = -56
9(-56 + 36x + -4x) = 144(x + 5)

Combine like terms: 36x + -4x = 32x
9(-56 + 32x) = 144(x + 5)
(-56 * 9 + 32x * 9) = 144(x + 5)
(-504 + 288x) = 144(x + 5)

Reorder the terms:
-504 + 288x = 144(5 + x)
-504 + 288x = (5 * 144 + x * 144)
-504 + 288x = (720 + 144x)

Solving
-504 + 288x = 720 + 144x

Solving for variable 'x'.

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

Add '-144x' to each side of the equation.
-504 + 288x + -144x = 720 + 144x + -144x

Combine like terms: 288x + -144x = 144x
-504 + 144x = 720 + 144x + -144x

Combine like terms: 144x + -144x = 0
-504 + 144x = 720 + 0
-504 + 144x = 720

Add '504' to each side of the equation.
-504 + 504 + 144x = 720 + 504

Combine like terms: -504 + 504 = 0
0 + 144x = 720 + 504
144x = 720 + 504

Combine like terms: 720 + 504 = 1224
144x = 1224

Divide each side by '144'.
x = 8.5

Simplifying
x = 8.5

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