6[3x-1-2x]=2(2x-13)

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Solution for 6[3x-1-2x]=2(2x-13) equation:


Simplifying
6[3x + -1 + -2x] = 2(2x + -13)

Reorder the terms:
6[-1 + 3x + -2x] = 2(2x + -13)

Combine like terms: 3x + -2x = 1x
6[-1 + 1x] = 2(2x + -13)
[-1 * 6 + 1x * 6] = 2(2x + -13)
[-6 + 6x] = 2(2x + -13)

Reorder the terms:
-6 + 6x = 2(-13 + 2x)
-6 + 6x = (-13 * 2 + 2x * 2)
-6 + 6x = (-26 + 4x)

Solving
-6 + 6x = -26 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 6x + -4x = -26 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-6 + 2x = -26 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 2x = -26 + 0
-6 + 2x = -26

Add '6' to each side of the equation.
-6 + 6 + 2x = -26 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -26 + 6
2x = -26 + 6

Combine like terms: -26 + 6 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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