2(x-3)+x=2-x+6

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


Simplifying
2(x + -3) + x = 2 + -1x + 6

Reorder the terms:
2(-3 + x) + x = 2 + -1x + 6
(-3 * 2 + x * 2) + x = 2 + -1x + 6
(-6 + 2x) + x = 2 + -1x + 6

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

Reorder the terms:
-6 + 3x = 2 + 6 + -1x

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

Solving
-6 + 3x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 3x + x = 8 + -1x + x

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

Combine like terms: -1x + x = 0
-6 + 4x = 8 + 0
-6 + 4x = 8

Add '6' to each side of the equation.
-6 + 6 + 4x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 8 + 6
4x = 8 + 6

Combine like terms: 8 + 6 = 14
4x = 14

Divide each side by '4'.
x = 3.5

Simplifying
x = 3.5

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