(x+6)+(8(x+3))=3

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


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

Reorder the terms:
(6 + x) + (8(x + 3)) = 3

Remove parenthesis around (6 + x)
6 + x + (8(x + 3)) = 3

Reorder the terms:
6 + x + (8(3 + x)) = 3
6 + x + ((3 * 8 + x * 8)) = 3
6 + x + ((24 + 8x)) = 3
6 + x + (24 + 8x) = 3

Remove parenthesis around (24 + 8x)
6 + x + 24 + 8x = 3

Reorder the terms:
6 + 24 + x + 8x = 3

Combine like terms: 6 + 24 = 30
30 + x + 8x = 3

Combine like terms: x + 8x = 9x
30 + 9x = 3

Solving
30 + 9x = 3

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 9x = 3 + -30

Combine like terms: 30 + -30 = 0
0 + 9x = 3 + -30
9x = 3 + -30

Combine like terms: 3 + -30 = -27
9x = -27

Divide each side by '9'.
x = -3

Simplifying
x = -3

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