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

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


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

Combine like terms: 6x + x = 7x
-6 + 7x = -1(3 + -2x) + 3
-6 + 7x = (3 * -1 + -2x * -1) + 3
-6 + 7x = (-3 + 2x) + 3

Reorder the terms:
-6 + 7x = -3 + 3 + 2x

Combine like terms: -3 + 3 = 0
-6 + 7x = 0 + 2x
-6 + 7x = 2x

Solving
-6 + 7x = 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.
-6 + 7x + -2x = 2x + -2x

Combine like terms: 7x + -2x = 5x
-6 + 5x = 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 5x = 0

Add '6' to each side of the equation.
-6 + 6 + 5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 0 + 6
5x = 0 + 6

Combine like terms: 0 + 6 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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