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

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


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

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

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

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

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

Solving
3 + -4x = 2 + -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.
3 + -4x + 3x = 2 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
3 + -1x = 2 + 0
3 + -1x = 2

Add '-3' to each side of the equation.
3 + -3 + -1x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 2 + -3
-1x = 2 + -3

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

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

Simplifying
x = 1

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