5(4x-12)=9(x+8)

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Solution for 5(4x-12)=9(x+8) equation:


Simplifying
5(4x + -12) = 9(x + 8)

Reorder the terms:
5(-12 + 4x) = 9(x + 8)
(-12 * 5 + 4x * 5) = 9(x + 8)
(-60 + 20x) = 9(x + 8)

Reorder the terms:
-60 + 20x = 9(8 + x)
-60 + 20x = (8 * 9 + x * 9)
-60 + 20x = (72 + 9x)

Solving
-60 + 20x = 72 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-60 + 20x + -9x = 72 + 9x + -9x

Combine like terms: 20x + -9x = 11x
-60 + 11x = 72 + 9x + -9x

Combine like terms: 9x + -9x = 0
-60 + 11x = 72 + 0
-60 + 11x = 72

Add '60' to each side of the equation.
-60 + 60 + 11x = 72 + 60

Combine like terms: -60 + 60 = 0
0 + 11x = 72 + 60
11x = 72 + 60

Combine like terms: 72 + 60 = 132
11x = 132

Divide each side by '11'.
x = 12

Simplifying
x = 12

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