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

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


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

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

Remove parenthesis around (3 + x)
3 + x + -2(-1x + 3) = 6 + -1x

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

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

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

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

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

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

Combine like terms: -1x + x = 0
-3 + 4x = 6 + 0
-3 + 4x = 6

Add '3' to each side of the equation.
-3 + 3 + 4x = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 6 + 3
4x = 6 + 3

Combine like terms: 6 + 3 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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