2(x+3)-(x-5)=x-5-3(x+2)+4x

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Solution for 2(x+3)-(x-5)=x-5-3(x+2)+4x equation:


Simplifying
2(x + 3) + -1(x + -5) = x + -5 + -3(x + 2) + 4x

Reorder the terms:
2(3 + x) + -1(x + -5) = x + -5 + -3(x + 2) + 4x
(3 * 2 + x * 2) + -1(x + -5) = x + -5 + -3(x + 2) + 4x
(6 + 2x) + -1(x + -5) = x + -5 + -3(x + 2) + 4x

Reorder the terms:
6 + 2x + -1(-5 + x) = x + -5 + -3(x + 2) + 4x
6 + 2x + (-5 * -1 + x * -1) = x + -5 + -3(x + 2) + 4x
6 + 2x + (5 + -1x) = x + -5 + -3(x + 2) + 4x

Reorder the terms:
6 + 5 + 2x + -1x = x + -5 + -3(x + 2) + 4x

Combine like terms: 6 + 5 = 11
11 + 2x + -1x = x + -5 + -3(x + 2) + 4x

Combine like terms: 2x + -1x = 1x
11 + 1x = x + -5 + -3(x + 2) + 4x

Reorder the terms:
11 + 1x = x + -5 + -3(2 + x) + 4x
11 + 1x = x + -5 + (2 * -3 + x * -3) + 4x
11 + 1x = x + -5 + (-6 + -3x) + 4x

Reorder the terms:
11 + 1x = -5 + -6 + x + -3x + 4x

Combine like terms: -5 + -6 = -11
11 + 1x = -11 + x + -3x + 4x

Combine like terms: x + -3x = -2x
11 + 1x = -11 + -2x + 4x

Combine like terms: -2x + 4x = 2x
11 + 1x = -11 + 2x

Solving
11 + 1x = -11 + 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 + 1x + -2x = -11 + 2x + -2x

Combine like terms: 1x + -2x = -1x
11 + -1x = -11 + 2x + -2x

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

Add '-11' to each side of the equation.
11 + -11 + -1x = -11 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = -11 + -11
-1x = -11 + -11

Combine like terms: -11 + -11 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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