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

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


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

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

Remove parenthesis around (3 + x)
x + 3 + x = x + -1(2x + -6)

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

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

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

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

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

Solving
3 + 2x = 6 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
3 + 2x + x = 6 + -1x + x

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

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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