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

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


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

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

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

Combine like terms: 2 + -7 = -5
-5 + 5x + -1x = -1(3x + 2 + -1x)

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

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

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

Solving
-5 + 4x = -2 + -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.
-5 + 4x + 2x = -2 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-5 + 6x = -2 + 0
-5 + 6x = -2

Add '5' to each side of the equation.
-5 + 5 + 6x = -2 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = -2 + 5
6x = -2 + 5

Combine like terms: -2 + 5 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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