5x-2+3x=3(x+4)+5x-14

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Solution for 5x-2+3x=3(x+4)+5x-14 equation:


Simplifying
5x + -2 + 3x = 3(x + 4) + 5x + -14

Reorder the terms:
-2 + 5x + 3x = 3(x + 4) + 5x + -14

Combine like terms: 5x + 3x = 8x
-2 + 8x = 3(x + 4) + 5x + -14

Reorder the terms:
-2 + 8x = 3(4 + x) + 5x + -14
-2 + 8x = (4 * 3 + x * 3) + 5x + -14
-2 + 8x = (12 + 3x) + 5x + -14

Reorder the terms:
-2 + 8x = 12 + -14 + 3x + 5x

Combine like terms: 12 + -14 = -2
-2 + 8x = -2 + 3x + 5x

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