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

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


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

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

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

Solving
1 + 6x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + 6x + -4x = -2 + 4x + -4x

Combine like terms: 6x + -4x = 2x
1 + 2x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + 2x = -2 + 0
1 + 2x = -2

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

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

Combine like terms: -2 + -1 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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