5x-(3x-2)=11-x

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Solution for 5x-(3x-2)=11-x equation:


Simplifying
5x + -1(3x + -2) = 11 + -1x

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

Reorder the terms:
2 + 5x + -3x = 11 + -1x

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

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

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

Combine like terms: -1x + x = 0
2 + 3x = 11 + 0
2 + 3x = 11

Add '-2' to each side of the equation.
2 + -2 + 3x = 11 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 11 + -2
3x = 11 + -2

Combine like terms: 11 + -2 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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