204=2(8x+5)+6(2x+9)

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Solution for 204=2(8x+5)+6(2x+9) equation:


Simplifying
204 = 2(8x + 5) + 6(2x + 9)

Reorder the terms:
204 = 2(5 + 8x) + 6(2x + 9)
204 = (5 * 2 + 8x * 2) + 6(2x + 9)
204 = (10 + 16x) + 6(2x + 9)

Reorder the terms:
204 = 10 + 16x + 6(9 + 2x)
204 = 10 + 16x + (9 * 6 + 2x * 6)
204 = 10 + 16x + (54 + 12x)

Reorder the terms:
204 = 10 + 54 + 16x + 12x

Combine like terms: 10 + 54 = 64
204 = 64 + 16x + 12x

Combine like terms: 16x + 12x = 28x
204 = 64 + 28x

Solving
204 = 64 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
204 + -28x = 64 + 28x + -28x

Combine like terms: 28x + -28x = 0
204 + -28x = 64 + 0
204 + -28x = 64

Add '-204' to each side of the equation.
204 + -204 + -28x = 64 + -204

Combine like terms: 204 + -204 = 0
0 + -28x = 64 + -204
-28x = 64 + -204

Combine like terms: 64 + -204 = -140
-28x = -140

Divide each side by '-28'.
x = 5

Simplifying
x = 5

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