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

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


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

Reorder the terms:
2(-4 + x) + -2 = 3(x + -6)
(-4 * 2 + x * 2) + -2 = 3(x + -6)
(-8 + 2x) + -2 = 3(x + -6)

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

Combine like terms: -8 + -2 = -10
-10 + 2x = 3(x + -6)

Reorder the terms:
-10 + 2x = 3(-6 + x)
-10 + 2x = (-6 * 3 + x * 3)
-10 + 2x = (-18 + 3x)

Solving
-10 + 2x = -18 + 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.
-10 + 2x + -3x = -18 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-10 + -1x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = -18 + 0
-10 + -1x = -18

Add '10' to each side of the equation.
-10 + 10 + -1x = -18 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -18 + 10
-1x = -18 + 10

Combine like terms: -18 + 10 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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