4x-9=-3x+6

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Solution for 4x-9=-3x+6 equation:


Simplifying
4x + -9 = -3x + 6

Reorder the terms:
-9 + 4x = -3x + 6

Reorder the terms:
-9 + 4x = 6 + -3x

Solving
-9 + 4x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-9 + 4x + 3x = 6 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-9 + 7x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 7x = 6 + 0
-9 + 7x = 6

Add '9' to each side of the equation.
-9 + 9 + 7x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 6 + 9
7x = 6 + 9

Combine like terms: 6 + 9 = 15
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143

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