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

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


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

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

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

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

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

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

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

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

Solving
2x = 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.
2x + -6x = 6x + -6x

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

Combine like terms: 6x + -6x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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