9(x+6)=5(x+18)

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Solution for 9(x+6)=5(x+18) equation:


Simplifying
9(x + 6) = 5(x + 18)

Reorder the terms:
9(6 + x) = 5(x + 18)
(6 * 9 + x * 9) = 5(x + 18)
(54 + 9x) = 5(x + 18)

Reorder the terms:
54 + 9x = 5(18 + x)
54 + 9x = (18 * 5 + x * 5)
54 + 9x = (90 + 5x)

Solving
54 + 9x = 90 + 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.
54 + 9x + -5x = 90 + 5x + -5x

Combine like terms: 9x + -5x = 4x
54 + 4x = 90 + 5x + -5x

Combine like terms: 5x + -5x = 0
54 + 4x = 90 + 0
54 + 4x = 90

Add '-54' to each side of the equation.
54 + -54 + 4x = 90 + -54

Combine like terms: 54 + -54 = 0
0 + 4x = 90 + -54
4x = 90 + -54

Combine like terms: 90 + -54 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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