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

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


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

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

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

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

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 8 + -8 + 3x

Combine like terms: 8 + -8 = 0
0 + 3x = 8 + -8 + 3x
3x = 8 + -8 + 3x

Combine like terms: 8 + -8 = 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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