(3x-2)+5(x-2)=(6x-1)(6-1)-1

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Solution for (3x-2)+5(x-2)=(6x-1)(6-1)-1 equation:


Simplifying
(3x + -2) + 5(x + -2) = (6x + -1)(6 + -1) + -1

Reorder the terms:
(-2 + 3x) + 5(x + -2) = (6x + -1)(6 + -1) + -1

Remove parenthesis around (-2 + 3x)
-2 + 3x + 5(x + -2) = (6x + -1)(6 + -1) + -1

Reorder the terms:
-2 + 3x + 5(-2 + x) = (6x + -1)(6 + -1) + -1
-2 + 3x + (-2 * 5 + x * 5) = (6x + -1)(6 + -1) + -1
-2 + 3x + (-10 + 5x) = (6x + -1)(6 + -1) + -1

Reorder the terms:
-2 + -10 + 3x + 5x = (6x + -1)(6 + -1) + -1

Combine like terms: -2 + -10 = -12
-12 + 3x + 5x = (6x + -1)(6 + -1) + -1

Combine like terms: 3x + 5x = 8x
-12 + 8x = (6x + -1)(6 + -1) + -1

Reorder the terms:
-12 + 8x = (-1 + 6x)(6 + -1) + -1

Combine like terms: 6 + -1 = 5
-12 + 8x = (-1 + 6x)(5) + -1

Reorder the terms for easier multiplication:
-12 + 8x = 5(-1 + 6x) + -1
-12 + 8x = (-1 * 5 + 6x * 5) + -1
-12 + 8x = (-5 + 30x) + -1

Reorder the terms:
-12 + 8x = -5 + -1 + 30x

Combine like terms: -5 + -1 = -6
-12 + 8x = -6 + 30x

Solving
-12 + 8x = -6 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-12 + 8x + -30x = -6 + 30x + -30x

Combine like terms: 8x + -30x = -22x
-12 + -22x = -6 + 30x + -30x

Combine like terms: 30x + -30x = 0
-12 + -22x = -6 + 0
-12 + -22x = -6

Add '12' to each side of the equation.
-12 + 12 + -22x = -6 + 12

Combine like terms: -12 + 12 = 0
0 + -22x = -6 + 12
-22x = -6 + 12

Combine like terms: -6 + 12 = 6
-22x = 6

Divide each side by '-22'.
x = -0.2727272727

Simplifying
x = -0.2727272727

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