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 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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