(3x+6)=(2x+18)+24

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Solution for (3x+6)=(2x+18)+24 equation:


Simplifying
(3x + 6) = (2x + 18) + 24

Reorder the terms:
(6 + 3x) = (2x + 18) + 24

Remove parenthesis around (6 + 3x)
6 + 3x = (2x + 18) + 24

Reorder the terms:
6 + 3x = (18 + 2x) + 24

Remove parenthesis around (18 + 2x)
6 + 3x = 18 + 2x + 24

Reorder the terms:
6 + 3x = 18 + 24 + 2x

Combine like terms: 18 + 24 = 42
6 + 3x = 42 + 2x

Solving
6 + 3x = 42 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 3x + -2x = 42 + 2x + -2x

Combine like terms: 3x + -2x = 1x
6 + 1x = 42 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 1x = 42 + 0
6 + 1x = 42

Add '-6' to each side of the equation.
6 + -6 + 1x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 42 + -6
1x = 42 + -6

Combine like terms: 42 + -6 = 36
1x = 36

Divide each side by '1'.
x = 36

Simplifying
x = 36

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