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

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


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

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

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

Combine like terms: -6 + -2 = -8
-8 + 3x = 4x + -2

Reorder the terms:
-8 + 3x = -2 + 4x

Solving
-8 + 3x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 3x + -4x = -2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-8 + -1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -1x = -2 + 0
-8 + -1x = -2

Add '8' to each side of the equation.
-8 + 8 + -1x = -2 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -2 + 8
-1x = -2 + 8

Combine like terms: -2 + 8 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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