5(x+2)-3(x-2)=2x+16

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Solution for 5(x+2)-3(x-2)=2x+16 equation: 


Simplifying
5(x + 2) + -3(x + -2) = 2x + 16

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

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

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

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

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

Reorder the terms:
16 + 2x = 16 + 2x

Add '-16' to each side of the equation.
16 + -16 + 2x = 16 + -16 + 2x

Combine like terms: 16 + -16 = 0
0 + 2x = 16 + -16 + 2x
2x = 16 + -16 + 2x

Combine like terms: 16 + -16 = 0
2x = 0 + 2x
2x = 2x

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

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

Combine like terms: 2x + -2x = 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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