6[x-2]-[2x-1]=2

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Solution for 6[x-2]-[2x-1]=2 equation:


Simplifying
6[x + -2] + -1[2x + -1] = 2

Reorder the terms:
6[-2 + x] + -1[2x + -1] = 2
[-2 * 6 + x * 6] + -1[2x + -1] = 2
[-12 + 6x] + -1[2x + -1] = 2

Reorder the terms:
-12 + 6x + -1[-1 + 2x] = 2
-12 + 6x + [-1 * -1 + 2x * -1] = 2
-12 + 6x + [1 + -2x] = 2

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

Combine like terms: -12 + 1 = -11
-11 + 6x + -2x = 2

Combine like terms: 6x + -2x = 4x
-11 + 4x = 2

Solving
-11 + 4x = 2

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 4x = 2 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = 2 + 11
4x = 2 + 11

Combine like terms: 2 + 11 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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