6(x-2)-2(x-1)=2

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Solution for 6(x-2)-2(x-1)=2 equation:


Simplifying
6(x + -2) + -2(x + -1) = 2

Reorder the terms:
6(-2 + x) + -2(x + -1) = 2
(-2 * 6 + x * 6) + -2(x + -1) = 2
(-12 + 6x) + -2(x + -1) = 2

Reorder the terms:
-12 + 6x + -2(-1 + x) = 2
-12 + 6x + (-1 * -2 + x * -2) = 2
-12 + 6x + (2 + -2x) = 2

Reorder the terms:
-12 + 2 + 6x + -2x = 2

Combine like terms: -12 + 2 = -10
-10 + 6x + -2x = 2

Combine like terms: 6x + -2x = 4x
-10 + 4x = 2

Solving
-10 + 4x = 2

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 4x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 2 + 10
4x = 2 + 10

Combine like terms: 2 + 10 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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