(4-(2-x)-2(2-5)-3+2)=x-7(3-4)+5-2x-3(4-x)

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Solution for (4-(2-x)-2(2-5)-3+2)=x-7(3-4)+5-2x-3(4-x) equation:


Simplifying
(4 + -1(2 + -1x) + -2(2 + -5) + -3 + 2) = x + -7(3 + -4) + 5 + -2x + -3(4 + -1x)
(4 + (2 * -1 + -1x * -1) + -2(2 + -5) + -3 + 2) = x + -7(3 + -4) + 5 + -2x + -3(4 + -1x)
(4 + (-2 + 1x) + -2(2 + -5) + -3 + 2) = x + -7(3 + -4) + 5 + -2x + -3(4 + -1x)

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

Multiply -2 * -3
(4 + -2 + 1x + 6 + -3 + 2) = x + -7(3 + -4) + 5 + -2x + -3(4 + -1x)

Reorder the terms:
(4 + -2 + 6 + -3 + 2 + 1x) = x + -7(3 + -4) + 5 + -2x + -3(4 + -1x)

Combine like terms: 4 + -2 = 2
(2 + 6 + -3 + 2 + 1x) = x + -7(3 + -4) + 5 + -2x + -3(4 + -1x)

Combine like terms: 2 + 6 = 8
(8 + -3 + 2 + 1x) = x + -7(3 + -4) + 5 + -2x + -3(4 + -1x)

Combine like terms: 8 + -3 = 5
(5 + 2 + 1x) = x + -7(3 + -4) + 5 + -2x + -3(4 + -1x)

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

Remove parenthesis around (7 + 1x)
7 + 1x = x + -7(3 + -4) + 5 + -2x + -3(4 + -1x)

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

Multiply -7 * -1
7 + 1x = x + 7 + 5 + -2x + -3(4 + -1x)
7 + 1x = x + 7 + 5 + -2x + (4 * -3 + -1x * -3)
7 + 1x = x + 7 + 5 + -2x + (-12 + 3x)

Reorder the terms:
7 + 1x = 7 + 5 + -12 + x + -2x + 3x

Combine like terms: 7 + 5 = 12
7 + 1x = 12 + -12 + x + -2x + 3x

Combine like terms: 12 + -12 = 0
7 + 1x = 0 + x + -2x + 3x
7 + 1x = x + -2x + 3x

Combine like terms: x + -2x = -1x
7 + 1x = -1x + 3x

Combine like terms: -1x + 3x = 2x
7 + 1x = 2x

Solving
7 + 1x = 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.
7 + 1x + -2x = 2x + -2x

Combine like terms: 1x + -2x = -1x
7 + -1x = 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -1x = 0

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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