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

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Solution for x-2+3x-4=x+6 equation:


Simplifying
x + -2 + 3x + -4 = x + 6

Reorder the terms:
-2 + -4 + x + 3x = x + 6

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

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

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

Solving
-6 + 4x = 6 + x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 0
-6 + 3x = 6 + 0
-6 + 3x = 6

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

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

Combine like terms: 6 + 6 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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