4x+6-x=9+4x-7

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Solution for 4x+6-x=9+4x-7 equation:


Simplifying
4x + 6 + -1x = 9 + 4x + -7

Reorder the terms:
6 + 4x + -1x = 9 + 4x + -7

Combine like terms: 4x + -1x = 3x
6 + 3x = 9 + 4x + -7

Reorder the terms:
6 + 3x = 9 + -7 + 4x

Combine like terms: 9 + -7 = 2
6 + 3x = 2 + 4x

Solving
6 + 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.
6 + 3x + -4x = 2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 2 + 0
6 + -1x = 2

Add '-6' to each side of the equation.
6 + -6 + -1x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 2 + -6
-1x = 2 + -6

Combine like terms: 2 + -6 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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