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

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


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

Reorder the terms:
-1x + -3(-2 + x) = 4(2 + -3x) + -2x
-1x + (-2 * -3 + x * -3) = 4(2 + -3x) + -2x
-1x + (6 + -3x) = 4(2 + -3x) + -2x

Reorder the terms:
6 + -1x + -3x = 4(2 + -3x) + -2x

Combine like terms: -1x + -3x = -4x
6 + -4x = 4(2 + -3x) + -2x
6 + -4x = (2 * 4 + -3x * 4) + -2x
6 + -4x = (8 + -12x) + -2x

Combine like terms: -12x + -2x = -14x
6 + -4x = 8 + -14x

Solving
6 + -4x = 8 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
6 + -4x + 14x = 8 + -14x + 14x

Combine like terms: -4x + 14x = 10x
6 + 10x = 8 + -14x + 14x

Combine like terms: -14x + 14x = 0
6 + 10x = 8 + 0
6 + 10x = 8

Add '-6' to each side of the equation.
6 + -6 + 10x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 8 + -6
10x = 8 + -6

Combine like terms: 8 + -6 = 2
10x = 2

Divide each side by '10'.
x = 0.2

Simplifying
x = 0.2

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