2x+(3x+12)=(4x+9)

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Solution for 2x+(3x+12)=(4x+9) equation:


Simplifying
2x + (3x + 12) = (4x + 9)

Reorder the terms:
2x + (12 + 3x) = (4x + 9)

Remove parenthesis around (12 + 3x)
2x + 12 + 3x = (4x + 9)

Reorder the terms:
12 + 2x + 3x = (4x + 9)

Combine like terms: 2x + 3x = 5x
12 + 5x = (4x + 9)

Reorder the terms:
12 + 5x = (9 + 4x)

Remove parenthesis around (9 + 4x)
12 + 5x = 9 + 4x

Solving
12 + 5x = 9 + 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.
12 + 5x + -4x = 9 + 4x + -4x

Combine like terms: 5x + -4x = 1x
12 + 1x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 1x = 9 + 0
12 + 1x = 9

Add '-12' to each side of the equation.
12 + -12 + 1x = 9 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 9 + -12
1x = 9 + -12

Combine like terms: 9 + -12 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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