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

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


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

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

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

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

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

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

Reorder the terms:
-3 + -3x = 6(3 + 6x)
-3 + -3x = (3 * 6 + 6x * 6)
-3 + -3x = (18 + 36x)

Solving
-3 + -3x = 18 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-3 + -3x + -36x = 18 + 36x + -36x

Combine like terms: -3x + -36x = -39x
-3 + -39x = 18 + 36x + -36x

Combine like terms: 36x + -36x = 0
-3 + -39x = 18 + 0
-3 + -39x = 18

Add '3' to each side of the equation.
-3 + 3 + -39x = 18 + 3

Combine like terms: -3 + 3 = 0
0 + -39x = 18 + 3
-39x = 18 + 3

Combine like terms: 18 + 3 = 21
-39x = 21

Divide each side by '-39'.
x = -0.5384615385

Simplifying
x = -0.5384615385

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