255=15x+6(x+4)

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Solution for 255=15x+6(x+4) equation:


Simplifying
255 = 15x + 6(x + 4)

Reorder the terms:
255 = 15x + 6(4 + x)
255 = 15x + (4 * 6 + x * 6)
255 = 15x + (24 + 6x)

Reorder the terms:
255 = 24 + 15x + 6x

Combine like terms: 15x + 6x = 21x
255 = 24 + 21x

Solving
255 = 24 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
255 + -21x = 24 + 21x + -21x

Combine like terms: 21x + -21x = 0
255 + -21x = 24 + 0
255 + -21x = 24

Add '-255' to each side of the equation.
255 + -255 + -21x = 24 + -255

Combine like terms: 255 + -255 = 0
0 + -21x = 24 + -255
-21x = 24 + -255

Combine like terms: 24 + -255 = -231
-21x = -231

Divide each side by '-21'.
x = 11

Simplifying
x = 11

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