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

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


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

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

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

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

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

Solving
9 + 3x = -2 + 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.
9 + 3x + -4x = -2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
9 + -1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -1x = -2 + 0
9 + -1x = -2

Add '-9' to each side of the equation.
9 + -9 + -1x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -2 + -9
-1x = -2 + -9

Combine like terms: -2 + -9 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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