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

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


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

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

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

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

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

Reorder the terms:
42 + 2x = (6 + 3x)

Remove parenthesis around (6 + 3x)
42 + 2x = 6 + 3x

Solving
42 + 2x = 6 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
42 + -1x = 6 + 0
42 + -1x = 6

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

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

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

Divide each side by '-1'.
x = 36

Simplifying
x = 36

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