2(x+3)-(2x-5)=2(x+1)-7

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Solution for 2(x+3)-(2x-5)=2(x+1)-7 equation: 


Simplifying
2(x + 3) + -1(2x + -5) = 2(x + 1) + -7

Reorder the terms:
2(3 + x) + -1(2x + -5) = 2(x + 1) + -7
(3 * 2 + x * 2) + -1(2x + -5) = 2(x + 1) + -7
(6 + 2x) + -1(2x + -5) = 2(x + 1) + -7

Reorder the terms:
6 + 2x + -1(-5 + 2x) = 2(x + 1) + -7
6 + 2x + (-5 * -1 + 2x * -1) = 2(x + 1) + -7
6 + 2x + (5 + -2x) = 2(x + 1) + -7

Reorder the terms:
6 + 5 + 2x + -2x = 2(x + 1) + -7

Combine like terms: 6 + 5 = 11
11 + 2x + -2x = 2(x + 1) + -7

Combine like terms: 2x + -2x = 0
11 + 0 = 2(x + 1) + -7
11 = 2(x + 1) + -7

Reorder the terms:
11 = 2(1 + x) + -7
11 = (1 * 2 + x * 2) + -7
11 = (2 + 2x) + -7

Reorder the terms:
11 = 2 + -7 + 2x

Combine like terms: 2 + -7 = -5
11 = -5 + 2x

Solving
11 = -5 + 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.
11 + -2x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -2x = -5 + 0
11 + -2x = -5

Add '-11' to each side of the equation.
11 + -11 + -2x = -5 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -5 + -11
-2x = -5 + -11

Combine like terms: -5 + -11 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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