6(2x+1)+2=2(4x+1)+2(2x+3)

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Solution for 6(2x+1)+2=2(4x+1)+2(2x+3) equation:


Simplifying
6(2x + 1) + 2 = 2(4x + 1) + 2(2x + 3)

Reorder the terms:
6(1 + 2x) + 2 = 2(4x + 1) + 2(2x + 3)
(1 * 6 + 2x * 6) + 2 = 2(4x + 1) + 2(2x + 3)
(6 + 12x) + 2 = 2(4x + 1) + 2(2x + 3)

Reorder the terms:
6 + 2 + 12x = 2(4x + 1) + 2(2x + 3)

Combine like terms: 6 + 2 = 8
8 + 12x = 2(4x + 1) + 2(2x + 3)

Reorder the terms:
8 + 12x = 2(1 + 4x) + 2(2x + 3)
8 + 12x = (1 * 2 + 4x * 2) + 2(2x + 3)
8 + 12x = (2 + 8x) + 2(2x + 3)

Reorder the terms:
8 + 12x = 2 + 8x + 2(3 + 2x)
8 + 12x = 2 + 8x + (3 * 2 + 2x * 2)
8 + 12x = 2 + 8x + (6 + 4x)

Reorder the terms:
8 + 12x = 2 + 6 + 8x + 4x

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

Combine like terms: 8x + 4x = 12x
8 + 12x = 8 + 12x

Add '-8' to each side of the equation.
8 + -8 + 12x = 8 + -8 + 12x

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

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

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

Combine like terms: 12x + -12x = 0
0 = 12x + -12x

Combine like terms: 12x + -12x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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