2(x+3)=5-(2x+1)+6

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Solution for 2(x+3)=5-(2x+1)+6 equation: 


Simplifying
2(x + 3) = 5 + -1(2x + 1) + 6

Reorder the terms:
2(3 + x) = 5 + -1(2x + 1) + 6
(3 * 2 + x * 2) = 5 + -1(2x + 1) + 6
(6 + 2x) = 5 + -1(2x + 1) + 6

Reorder the terms:
6 + 2x = 5 + -1(1 + 2x) + 6
6 + 2x = 5 + (1 * -1 + 2x * -1) + 6
6 + 2x = 5 + (-1 + -2x) + 6

Reorder the terms:
6 + 2x = 5 + -1 + 6 + -2x

Combine like terms: 5 + -1 = 4
6 + 2x = 4 + 6 + -2x

Combine like terms: 4 + 6 = 10
6 + 2x = 10 + -2x

Solving
6 + 2x = 10 + -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 = 10 + -2x + 2x

Combine like terms: 2x + 2x = 4x
6 + 4x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 4x = 10 + 0
6 + 4x = 10

Add '-6' to each side of the equation.
6 + -6 + 4x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 10 + -6
4x = 10 + -6

Combine like terms: 10 + -6 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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