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

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


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

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

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

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

Combine like terms: 12 + -12 = 0
0 + 2x + 4x = 3(2x + 1) + -3
2x + 4x = 3(2x + 1) + -3

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

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

Reorder the terms:
6x = 3 + -3 + 6x

Combine like terms: 3 + -3 = 0
6x = 0 + 6x
6x = 6x

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

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

Combine like terms: 6x + -6x = 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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