-2(7-(4-2(1-x)+3))=10-(4x-2(x-3))

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Solution for -2(7-(4-2(1-x)+3))=10-(4x-2(x-3)) equation: 


Simplifying
-2(7 + -1(4 + -2(1 + -1x) + 3)) = 10 + -1(4x + -2(x + -3))
-2(7 + -1(4 + (1 * -2 + -1x * -2) + 3)) = 10 + -1(4x + -2(x + -3))
-2(7 + -1(4 + (-2 + 2x) + 3)) = 10 + -1(4x + -2(x + -3))

Reorder the terms:
-2(7 + -1(4 + -2 + 3 + 2x)) = 10 + -1(4x + -2(x + -3))

Combine like terms: 4 + -2 = 2
-2(7 + -1(2 + 3 + 2x)) = 10 + -1(4x + -2(x + -3))

Combine like terms: 2 + 3 = 5
-2(7 + -1(5 + 2x)) = 10 + -1(4x + -2(x + -3))
-2(7 + (5 * -1 + 2x * -1)) = 10 + -1(4x + -2(x + -3))
-2(7 + (-5 + -2x)) = 10 + -1(4x + -2(x + -3))

Combine like terms: 7 + -5 = 2
-2(2 + -2x) = 10 + -1(4x + -2(x + -3))
(2 * -2 + -2x * -2) = 10 + -1(4x + -2(x + -3))
(-4 + 4x) = 10 + -1(4x + -2(x + -3))

Reorder the terms:
-4 + 4x = 10 + -1(4x + -2(-3 + x))
-4 + 4x = 10 + -1(4x + (-3 * -2 + x * -2))
-4 + 4x = 10 + -1(4x + (6 + -2x))

Reorder the terms:
-4 + 4x = 10 + -1(6 + 4x + -2x)

Combine like terms: 4x + -2x = 2x
-4 + 4x = 10 + -1(6 + 2x)
-4 + 4x = 10 + (6 * -1 + 2x * -1)
-4 + 4x = 10 + (-6 + -2x)

Combine like terms: 10 + -6 = 4
-4 + 4x = 4 + -2x

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

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

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

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

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

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

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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