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

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


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

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

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

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

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

Combine like terms: 8 + -1 = 7
6 + -2x = 7 + 2x

Solving
6 + -2x = 7 + 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.
6 + -2x + -2x = 7 + 2x + -2x

Combine like terms: -2x + -2x = -4x
6 + -4x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -4x = 7 + 0
6 + -4x = 7

Add '-6' to each side of the equation.
6 + -6 + -4x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 7 + -6
-4x = 7 + -6

Combine like terms: 7 + -6 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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