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

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


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

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

Combine like terms: 5 + -2 = 3
3 + -1x = 2x + -6

Reorder the terms:
3 + -1x = -6 + 2x

Solving
3 + -1x = -6 + 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.
3 + -1x + -2x = -6 + 2x + -2x

Combine like terms: -1x + -2x = -3x
3 + -3x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -3x = -6 + 0
3 + -3x = -6

Add '-3' to each side of the equation.
3 + -3 + -3x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -6 + -3
-3x = -6 + -3

Combine like terms: -6 + -3 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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