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

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


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

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

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

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

Reorder the terms:
-1 + 10 + 2x + 6x = 6x + -1

Combine like terms: -1 + 10 = 9
9 + 2x + 6x = 6x + -1

Combine like terms: 2x + 6x = 8x
9 + 8x = 6x + -1

Reorder the terms:
9 + 8x = -1 + 6x

Solving
9 + 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.
9 + 8x + -6x = -1 + 6x + -6x

Combine like terms: 8x + -6x = 2x
9 + 2x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + 2x = -1 + 0
9 + 2x = -1

Add '-9' to each side of the equation.
9 + -9 + 2x = -1 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = -1 + -9
2x = -1 + -9

Combine like terms: -1 + -9 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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