6-4x=-3(x-2)-2

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Solution for 6-4x=-3(x-2)-2 equation:


Simplifying
6 + -4x = -3(x + -2) + -2

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

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

Combine like terms: 6 + -2 = 4
6 + -4x = 4 + -3x

Solving
6 + -4x = 4 + -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.
6 + -4x + 3x = 4 + -3x + 3x

Combine like terms: -4x + 3x = -1x
6 + -1x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + -1x = 4 + 0
6 + -1x = 4

Add '-6' to each side of the equation.
6 + -6 + -1x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 4 + -6
-1x = 4 + -6

Combine like terms: 4 + -6 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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