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

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


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

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

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

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

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

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

Combine like terms: 3 + 3 = 6
6 + 2x + 2x = (6x + 1) + (6x + 1)

Combine like terms: 2x + 2x = 4x
6 + 4x = (6x + 1) + (6x + 1)

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

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

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

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

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

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

Combine like terms: 6x + 6x = 12x
6 + 4x = 2 + 12x

Solving
6 + 4x = 2 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 4x + -12x = 2 + 12x + -12x

Combine like terms: 4x + -12x = -8x
6 + -8x = 2 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -8x = 2 + 0
6 + -8x = 2

Add '-6' to each side of the equation.
6 + -6 + -8x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 2 + -6
-8x = 2 + -6

Combine like terms: 2 + -6 = -4
-8x = -4

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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