(4x-1)+2(2x+6)=6x-1

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Solution for (4x-1)+2(2x+6)=6x-1 equation:


Simplifying
(4x + -1) + 2(2x + 6) = 6x + -1

Reorder the terms:
(-1 + 4x) + 2(2x + 6) = 6x + -1

Remove parenthesis around (-1 + 4x)
-1 + 4x + 2(2x + 6) = 6x + -1

Reorder the terms:
-1 + 4x + 2(6 + 2x) = 6x + -1
-1 + 4x + (6 * 2 + 2x * 2) = 6x + -1
-1 + 4x + (12 + 4x) = 6x + -1

Reorder the terms:
-1 + 12 + 4x + 4x = 6x + -1

Combine like terms: -1 + 12 = 11
11 + 4x + 4x = 6x + -1

Combine like terms: 4x + 4x = 8x
11 + 8x = 6x + -1

Reorder the terms:
11 + 8x = -1 + 6x

Solving
11 + 8x = -1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + 8x + -6x = -1 + 6x + -6x

Combine like terms: 8x + -6x = 2x
11 + 2x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + 2x = -1 + 0
11 + 2x = -1

Add '-11' to each side of the equation.
11 + -11 + 2x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = -1 + -11
2x = -1 + -11

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

Divide each side by '2'.
x = -6

Simplifying
x = -6

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