6[x-(5x-6)]=8-3x

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Solution for 6[x-(5x-6)]=8-3x equation:


Simplifying
6[x + -1(5x + -6)] = 8 + -3x

Reorder the terms:
6[x + -1(-6 + 5x)] = 8 + -3x
6[x + (-6 * -1 + 5x * -1)] = 8 + -3x
6[x + (6 + -5x)] = 8 + -3x

Reorder the terms:
6[6 + x + -5x] = 8 + -3x

Combine like terms: x + -5x = -4x
6[6 + -4x] = 8 + -3x
[6 * 6 + -4x * 6] = 8 + -3x
[36 + -24x] = 8 + -3x

Solving
36 + -24x = 8 + -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.
36 + -24x + 3x = 8 + -3x + 3x

Combine like terms: -24x + 3x = -21x
36 + -21x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + -21x = 8 + 0
36 + -21x = 8

Add '-36' to each side of the equation.
36 + -36 + -21x = 8 + -36

Combine like terms: 36 + -36 = 0
0 + -21x = 8 + -36
-21x = 8 + -36

Combine like terms: 8 + -36 = -28
-21x = -28

Divide each side by '-21'.
x = 1.333333333

Simplifying
x = 1.333333333

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