2x-3=-4x+9

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


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

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

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

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

Combine like terms: 2x + 4x = 6x
-3 + 6x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + 6x = 9 + 0
-3 + 6x = 9

Add '3' to each side of the equation.
-3 + 3 + 6x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 9 + 3
6x = 9 + 3

Combine like terms: 9 + 3 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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