1-(7-2x)-x=5x-2(x-4)

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Solution for 1-(7-2x)-x=5x-2(x-4) equation:


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

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

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

Reorder the terms:
-6 + 1x = 5x + -2(-4 + x)
-6 + 1x = 5x + (-4 * -2 + x * -2)
-6 + 1x = 5x + (8 + -2x)

Reorder the terms:
-6 + 1x = 8 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-6 + 1x = 8 + 3x

Solving
-6 + 1x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 1x + -3x = 8 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-6 + -2x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -2x = 8 + 0
-6 + -2x = 8

Add '6' to each side of the equation.
-6 + 6 + -2x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 8 + 6
-2x = 8 + 6

Combine like terms: 8 + 6 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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