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

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


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

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

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

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

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

Combine like terms: 4 + 7 = 11
11 + 2x + -1x = (4 + -3x) + (3x + 1)

Combine like terms: 2x + -1x = 1x
11 + 1x = (4 + -3x) + (3x + 1)

Remove parenthesis around (4 + -3x)
11 + 1x = 4 + -3x + (3x + 1)

Reorder the terms:
11 + 1x = 4 + -3x + (1 + 3x)

Remove parenthesis around (1 + 3x)
11 + 1x = 4 + -3x + 1 + 3x

Reorder the terms:
11 + 1x = 4 + 1 + -3x + 3x

Combine like terms: 4 + 1 = 5
11 + 1x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + 1x = 5 + 0
11 + 1x = 5

Solving
11 + 1x = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + 1x = 5 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 5 + -11
1x = 5 + -11

Combine like terms: 5 + -11 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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