3x-2=2(x-4)

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


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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -6

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