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

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

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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -4x = 7 + -2

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

Combine like terms: 7 + -2 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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