2(1-x)-3=3(x-3)-4-2x

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Solution for 2(1-x)-3=3(x-3)-4-2x equation:


Simplifying
2(1 + -1x) + -3 = 3(x + -3) + -4 + -2x
(1 * 2 + -1x * 2) + -3 = 3(x + -3) + -4 + -2x
(2 + -2x) + -3 = 3(x + -3) + -4 + -2x

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

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

Reorder the terms:
-1 + -2x = 3(-3 + x) + -4 + -2x
-1 + -2x = (-3 * 3 + x * 3) + -4 + -2x
-1 + -2x = (-9 + 3x) + -4 + -2x

Reorder the terms:
-1 + -2x = -9 + -4 + 3x + -2x

Combine like terms: -9 + -4 = -13
-1 + -2x = -13 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-1 + -2x = -13 + 1x

Solving
-1 + -2x = -13 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + -2x + -1x = -13 + 1x + -1x

Combine like terms: -2x + -1x = -3x
-1 + -3x = -13 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 + -3x = -13 + 0
-1 + -3x = -13

Add '1' to each side of the equation.
-1 + 1 + -3x = -13 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -13 + 1
-3x = -13 + 1

Combine like terms: -13 + 1 = -12
-3x = -12

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

Simplifying
x = 4

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