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

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


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

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

Combine like terms: 7 + 6 = 13
13 + -3x = (7 + -1x) + 4 + -4x

Remove parenthesis around (7 + -1x)
13 + -3x = 7 + -1x + 4 + -4x

Reorder the terms:
13 + -3x = 7 + 4 + -1x + -4x

Combine like terms: 7 + 4 = 11
13 + -3x = 11 + -1x + -4x

Combine like terms: -1x + -4x = -5x
13 + -3x = 11 + -5x

Solving
13 + -3x = 11 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
13 + -3x + 5x = 11 + -5x + 5x

Combine like terms: -3x + 5x = 2x
13 + 2x = 11 + -5x + 5x

Combine like terms: -5x + 5x = 0
13 + 2x = 11 + 0
13 + 2x = 11

Add '-13' to each side of the equation.
13 + -13 + 2x = 11 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 11 + -13
2x = 11 + -13

Combine like terms: 11 + -13 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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