3(x+2)+(5x-4)=8x+2

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Solution for 3(x+2)+(5x-4)=8x+2 equation: 


Simplifying
3(x + 2) + (5x + -4) = 8x + 2

Reorder the terms:
3(2 + x) + (5x + -4) = 8x + 2
(2 * 3 + x * 3) + (5x + -4) = 8x + 2
(6 + 3x) + (5x + -4) = 8x + 2

Reorder the terms:
6 + 3x + (-4 + 5x) = 8x + 2

Remove parenthesis around (-4 + 5x)
6 + 3x + -4 + 5x = 8x + 2

Reorder the terms:
6 + -4 + 3x + 5x = 8x + 2

Combine like terms: 6 + -4 = 2
2 + 3x + 5x = 8x + 2

Combine like terms: 3x + 5x = 8x
2 + 8x = 8x + 2

Reorder the terms:
2 + 8x = 2 + 8x

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

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

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

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

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

Combine like terms: 8x + -8x = 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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