2(3x-8)-2=2(x-3)

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Solution for 2(3x-8)-2=2(x-3) equation:


Simplifying
2(3x + -8) + -2 = 2(x + -3)

Reorder the terms:
2(-8 + 3x) + -2 = 2(x + -3)
(-8 * 2 + 3x * 2) + -2 = 2(x + -3)
(-16 + 6x) + -2 = 2(x + -3)

Reorder the terms:
-16 + -2 + 6x = 2(x + -3)

Combine like terms: -16 + -2 = -18
-18 + 6x = 2(x + -3)

Reorder the terms:
-18 + 6x = 2(-3 + x)
-18 + 6x = (-3 * 2 + x * 2)
-18 + 6x = (-6 + 2x)

Solving
-18 + 6x = -6 + 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.
-18 + 6x + -2x = -6 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-18 + 4x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 4x = -6 + 0
-18 + 4x = -6

Add '18' to each side of the equation.
-18 + 18 + 4x = -6 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = -6 + 18
4x = -6 + 18

Combine like terms: -6 + 18 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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