6(x+2)-(3x-7)=3x+19

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Solution for 6(x+2)-(3x-7)=3x+19 equation: 


Simplifying
6(x + 2) + -1(3x + -7) = 3x + 19

Reorder the terms:
6(2 + x) + -1(3x + -7) = 3x + 19
(2 * 6 + x * 6) + -1(3x + -7) = 3x + 19
(12 + 6x) + -1(3x + -7) = 3x + 19

Reorder the terms:
12 + 6x + -1(-7 + 3x) = 3x + 19
12 + 6x + (-7 * -1 + 3x * -1) = 3x + 19
12 + 6x + (7 + -3x) = 3x + 19

Reorder the terms:
12 + 7 + 6x + -3x = 3x + 19

Combine like terms: 12 + 7 = 19
19 + 6x + -3x = 3x + 19

Combine like terms: 6x + -3x = 3x
19 + 3x = 3x + 19

Reorder the terms:
19 + 3x = 19 + 3x

Add '-19' to each side of the equation.
19 + -19 + 3x = 19 + -19 + 3x

Combine like terms: 19 + -19 = 0
0 + 3x = 19 + -19 + 3x
3x = 19 + -19 + 3x

Combine like terms: 19 + -19 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

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

Combine like terms: 3x + -3x = 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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