409=3(5x+6)+8

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Solution for 409=3(5x+6)+8 equation: 


Simplifying
409 = 3(5x + 6) + 8

Reorder the terms:
409 = 3(6 + 5x) + 8
409 = (6 * 3 + 5x * 3) + 8
409 = (18 + 15x) + 8

Reorder the terms:
409 = 18 + 8 + 15x

Combine like terms: 18 + 8 = 26
409 = 26 + 15x

Solving
409 = 26 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
409 + -15x = 26 + 15x + -15x

Combine like terms: 15x + -15x = 0
409 + -15x = 26 + 0
409 + -15x = 26

Add '-409' to each side of the equation.
409 + -409 + -15x = 26 + -409

Combine like terms: 409 + -409 = 0
0 + -15x = 26 + -409
-15x = 26 + -409

Combine like terms: 26 + -409 = -383
-15x = -383

Divide each side by '-15'.
x = 25.53333333

Simplifying
x = 25.53333333

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