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

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


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

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

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

Reorder the terms:
3 + -4x = 2 + -5(-3 + x)
3 + -4x = 2 + (-3 * -5 + x * -5)
3 + -4x = 2 + (15 + -5x)

Combine like terms: 2 + 15 = 17
3 + -4x = 17 + -5x

Solving
3 + -4x = 17 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
3 + -4x + 5x = 17 + -5x + 5x

Combine like terms: -4x + 5x = 1x
3 + 1x = 17 + -5x + 5x

Combine like terms: -5x + 5x = 0
3 + 1x = 17 + 0
3 + 1x = 17

Add '-3' to each side of the equation.
3 + -3 + 1x = 17 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 17 + -3
1x = 17 + -3

Combine like terms: 17 + -3 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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