4x-3=-2x+9

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


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

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

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

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

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + 4x + 2x = 9 + -2x + 2x

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

Combine like terms: -2x + 2x = 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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