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

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


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

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

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

Reorder the terms:
10 + 2x = -1 + 1 + -2x

Combine like terms: -1 + 1 = 0
10 + 2x = 0 + -2x
10 + 2x = -2x

Solving
10 + 2x = -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.
10 + 2x + 2x = -2x + 2x

Combine like terms: 2x + 2x = 4x
10 + 4x = -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 4x = 0

Add '-10' to each side of the equation.
10 + -10 + 4x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 0 + -10
4x = 0 + -10

Combine like terms: 0 + -10 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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