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

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


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

Reorder the terms:
9(4 + x) = 5(x + 12)
(4 * 9 + x * 9) = 5(x + 12)
(36 + 9x) = 5(x + 12)

Reorder the terms:
36 + 9x = 5(12 + x)
36 + 9x = (12 * 5 + x * 5)
36 + 9x = (60 + 5x)

Solving
36 + 9x = 60 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
36 + 9x + -5x = 60 + 5x + -5x

Combine like terms: 9x + -5x = 4x
36 + 4x = 60 + 5x + -5x

Combine like terms: 5x + -5x = 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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