2x+(5-x)=3-(3x-6)

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Solution for 2x+(5-x)=3-(3x-6) equation:


Simplifying
2x + (5 + -1x) = 3 + -1(3x + -6)

Remove parenthesis around (5 + -1x)
2x + 5 + -1x = 3 + -1(3x + -6)

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

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

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

Combine like terms: 3 + 6 = 9
5 + 1x = 9 + -3x

Solving
5 + 1x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + 1x + 3x = 9 + -3x + 3x

Combine like terms: 1x + 3x = 4x
5 + 4x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 4x = 9 + 0
5 + 4x = 9

Add '-5' to each side of the equation.
5 + -5 + 4x = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 9 + -5
4x = 9 + -5

Combine like terms: 9 + -5 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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