9(x+8)=4(x+27)

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Solution for 9(x+8)=4(x+27) equation:


Simplifying
9(x + 8) = 4(x + 27)

Reorder the terms:
9(8 + x) = 4(x + 27)
(8 * 9 + x * 9) = 4(x + 27)
(72 + 9x) = 4(x + 27)

Reorder the terms:
72 + 9x = 4(27 + x)
72 + 9x = (27 * 4 + x * 4)
72 + 9x = (108 + 4x)

Solving
72 + 9x = 108 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
72 + 9x + -4x = 108 + 4x + -4x

Combine like terms: 9x + -4x = 5x
72 + 5x = 108 + 4x + -4x

Combine like terms: 4x + -4x = 0
72 + 5x = 108 + 0
72 + 5x = 108

Add '-72' to each side of the equation.
72 + -72 + 5x = 108 + -72

Combine like terms: 72 + -72 = 0
0 + 5x = 108 + -72
5x = 108 + -72

Combine like terms: 108 + -72 = 36
5x = 36

Divide each side by '5'.
x = 7.2

Simplifying
x = 7.2

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