5=(1-2x)-3(X-3)

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Solution for 5=(1-2x)-3(X-3) equation:


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

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

Reorder the terms:
5 = 1 + -2x + -3(-3 + X)
5 = 1 + -2x + (-3 * -3 + X * -3)
5 = 1 + -2x + (9 + -3X)

Reorder the terms:
5 = 1 + 9 + -3X + -2x

Combine like terms: 1 + 9 = 10
5 = 10 + -3X + -2x

Solving
5 = 10 + -3X + -2x

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 + 3X = 10 + -3X + 3X + -2x

Combine like terms: -3X + 3X = 0
5 + 3X = 10 + 0 + -2x
5 + 3X = 10 + -2x

Add '-5' to each side of the equation.
5 + -5 + 3X = 10 + -5 + -2x

Combine like terms: 5 + -5 = 0
0 + 3X = 10 + -5 + -2x
3X = 10 + -5 + -2x

Combine like terms: 10 + -5 = 5
3X = 5 + -2x

Divide each side by '3'.
X = 1.666666667 + -0.6666666667x

Simplifying
X = 1.666666667 + -0.6666666667x

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