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

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


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

Reorder the terms:
5(2 + x) = 3(x + -2) + 2(x + 8)
(2 * 5 + x * 5) = 3(x + -2) + 2(x + 8)
(10 + 5x) = 3(x + -2) + 2(x + 8)

Reorder the terms:
10 + 5x = 3(-2 + x) + 2(x + 8)
10 + 5x = (-2 * 3 + x * 3) + 2(x + 8)
10 + 5x = (-6 + 3x) + 2(x + 8)

Reorder the terms:
10 + 5x = -6 + 3x + 2(8 + x)
10 + 5x = -6 + 3x + (8 * 2 + x * 2)
10 + 5x = -6 + 3x + (16 + 2x)

Reorder the terms:
10 + 5x = -6 + 16 + 3x + 2x

Combine like terms: -6 + 16 = 10
10 + 5x = 10 + 3x + 2x

Combine like terms: 3x + 2x = 5x
10 + 5x = 10 + 5x

Add '-10' to each side of the equation.
10 + -10 + 5x = 10 + -10 + 5x

Combine like terms: 10 + -10 = 0
0 + 5x = 10 + -10 + 5x
5x = 10 + -10 + 5x

Combine like terms: 10 + -10 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 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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