4x-6=-x+9

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Solution for 4x-6=-x+9 equation:


Simplifying
4x + -6 = -1x + 9

Reorder the terms:
-6 + 4x = -1x + 9

Reorder the terms:
-6 + 4x = 9 + -1x

Solving
-6 + 4x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 4x + x = 9 + -1x + x

Combine like terms: 4x + x = 5x
-6 + 5x = 9 + -1x + x

Combine like terms: -1x + x = 0
-6 + 5x = 9 + 0
-6 + 5x = 9

Add '6' to each side of the equation.
-6 + 6 + 5x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 9 + 6
5x = 9 + 6

Combine like terms: 9 + 6 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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