5x+6-4x=8+3x-6

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Solution for 5x+6-4x=8+3x-6 equation:


Simplifying
5x + 6 + -4x = 8 + 3x + -6

Reorder the terms:
6 + 5x + -4x = 8 + 3x + -6

Combine like terms: 5x + -4x = 1x
6 + 1x = 8 + 3x + -6

Reorder the terms:
6 + 1x = 8 + -6 + 3x

Combine like terms: 8 + -6 = 2
6 + 1x = 2 + 3x

Solving
6 + 1x = 2 + 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.
6 + 1x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
6 + -2x = 2 + 0
6 + -2x = 2

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

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

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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