-5(1-x)+x=-(6-2x)+6

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Solution for -5(1-x)+x=-(6-2x)+6 equation:


Simplifying
-5(1 + -1x) + x = -1(6 + -2x) + 6
(1 * -5 + -1x * -5) + x = -1(6 + -2x) + 6
(-5 + 5x) + x = -1(6 + -2x) + 6

Combine like terms: 5x + x = 6x
-5 + 6x = -1(6 + -2x) + 6
-5 + 6x = (6 * -1 + -2x * -1) + 6
-5 + 6x = (-6 + 2x) + 6

Reorder the terms:
-5 + 6x = -6 + 6 + 2x

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

Solving
-5 + 6x = 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.
-5 + 6x + -2x = 2x + -2x

Combine like terms: 6x + -2x = 4x
-5 + 4x = 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 4x = 0

Add '5' to each side of the equation.
-5 + 5 + 4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 0 + 5
4x = 0 + 5

Combine like terms: 0 + 5 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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