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

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


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

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

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

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

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

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

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

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

Reorder the terms:
2 + 4x = -2 + 6x

Solving
2 + 4x = -2 + 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.
2 + 4x + -6x = -2 + 6x + -6x

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

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

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

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

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

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

Simplifying
x = 2

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