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

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


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

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

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

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

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

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

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

Solving
-2 + 4x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 4x + -2x = 3 + 2x + -2x

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

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

Add '2' to each side of the equation.
-2 + 2 + 2x = 3 + 2

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

Combine like terms: 3 + 2 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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