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

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Solution for -3(1-x)+x=-(6-2x)+6 equation:


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

Combine like terms: 3x + x = 4x
-3 + 4x = -1(6 + -2x) + 6
-3 + 4x = (6 * -1 + -2x * -1) + 6
-3 + 4x = (-6 + 2x) + 6

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

Combine like terms: -6 + 6 = 0
-3 + 4x = 0 + 2x
-3 + 4x = 2x

Solving
-3 + 4x = 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.
-3 + 4x + -2x = 2x + -2x

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

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 0 + 3

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

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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