4(x+6)=(x+6)+5x+(3x+3)

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Solution for 4(x+6)=(x+6)+5x+(3x+3) equation:


Simplifying
4(x + 6) = (x + 6) + 5x + (3x + 3)

Reorder the terms:
4(6 + x) = (x + 6) + 5x + (3x + 3)
(6 * 4 + x * 4) = (x + 6) + 5x + (3x + 3)
(24 + 4x) = (x + 6) + 5x + (3x + 3)

Reorder the terms:
24 + 4x = (6 + x) + 5x + (3x + 3)

Remove parenthesis around (6 + x)
24 + 4x = 6 + x + 5x + (3x + 3)

Reorder the terms:
24 + 4x = 6 + x + 5x + (3 + 3x)

Remove parenthesis around (3 + 3x)
24 + 4x = 6 + x + 5x + 3 + 3x

Reorder the terms:
24 + 4x = 6 + 3 + x + 5x + 3x

Combine like terms: 6 + 3 = 9
24 + 4x = 9 + x + 5x + 3x

Combine like terms: x + 5x = 6x
24 + 4x = 9 + 6x + 3x

Combine like terms: 6x + 3x = 9x
24 + 4x = 9 + 9x

Solving
24 + 4x = 9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
24 + 4x + -9x = 9 + 9x + -9x

Combine like terms: 4x + -9x = -5x
24 + -5x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + -5x = 9 + 0
24 + -5x = 9

Add '-24' to each side of the equation.
24 + -24 + -5x = 9 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = 9 + -24
-5x = 9 + -24

Combine like terms: 9 + -24 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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