6(x-3)*9=2(n+2)*8

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Solution for 6(x-3)*9=2(n+2)*8 equation:


Simplifying
6(x + -3) * 9 = 2(n + 2) * 8

Reorder the terms:
6(-3 + x) * 9 = 2(n + 2) * 8

Reorder the terms for easier multiplication:
6 * 9(-3 + x) = 2(n + 2) * 8

Multiply 6 * 9
54(-3 + x) = 2(n + 2) * 8
(-3 * 54 + x * 54) = 2(n + 2) * 8
(-162 + 54x) = 2(n + 2) * 8

Reorder the terms:
-162 + 54x = 2(2 + n) * 8

Reorder the terms for easier multiplication:
-162 + 54x = 2 * 8(2 + n)

Multiply 2 * 8
-162 + 54x = 16(2 + n)
-162 + 54x = (2 * 16 + n * 16)
-162 + 54x = (32 + 16n)

Solving
-162 + 54x = 32 + 16n

Solving for variable 'x'.

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

Add '162' to each side of the equation.
-162 + 162 + 54x = 32 + 162 + 16n

Combine like terms: -162 + 162 = 0
0 + 54x = 32 + 162 + 16n
54x = 32 + 162 + 16n

Combine like terms: 32 + 162 = 194
54x = 194 + 16n

Divide each side by '54'.
x = 3.592592593 + 0.2962962963n

Simplifying
x = 3.592592593 + 0.2962962963n

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