2(x+5)-3=-(2x+2)+1

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Solution for 2(x+5)-3=-(2x+2)+1 equation: 


Simplifying
2(x + 5) + -3 = -1(2x + 2) + 1

Reorder the terms:
2(5 + x) + -3 = -1(2x + 2) + 1
(5 * 2 + x * 2) + -3 = -1(2x + 2) + 1
(10 + 2x) + -3 = -1(2x + 2) + 1

Reorder the terms:
10 + -3 + 2x = -1(2x + 2) + 1

Combine like terms: 10 + -3 = 7
7 + 2x = -1(2x + 2) + 1

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

Reorder the terms:
7 + 2x = -2 + 1 + -2x

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

Solving
7 + 2x = -1 + -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.
7 + 2x + 2x = -1 + -2x + 2x

Combine like terms: 2x + 2x = 4x
7 + 4x = -1 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 4x = -1 + 0
7 + 4x = -1

Add '-7' to each side of the equation.
7 + -7 + 4x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = -1 + -7
4x = -1 + -7

Combine like terms: -1 + -7 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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