2*(1-x)+2x=-1+3*(x-3)

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Solution for 2*(1-x)+2x=-1+3*(x-3) equation:


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

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

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

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

Solving
2 = -10 + 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.
2 + -3x = -10 + 3x + -3x

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

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

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

Combine like terms: -10 + -2 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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