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

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


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

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

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

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

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

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

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

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

Combine like terms: 6x + 3x = 9x
9 + 9x = 4(x + 6)

Reorder the terms:
9 + 9x = 4(6 + x)
9 + 9x = (6 * 4 + x * 4)
9 + 9x = (24 + 4x)

Solving
9 + 9x = 24 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
9 + 5x = 24 + 0
9 + 5x = 24

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

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

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

Divide each side by '5'.
x = 3

Simplifying
x = 3

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