2[3-(8-5r)]-r=-16+3(2+3r)

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Solution for 2[3-(8-5r)]-r=-16+3(2+3r) equation: 


Simplifying
2[3 + -1(8 + -5r)] + -1r = -16 + 3(2 + 3r)
2[3 + (8 * -1 + -5r * -1)] + -1r = -16 + 3(2 + 3r)
2[3 + (-8 + 5r)] + -1r = -16 + 3(2 + 3r)

Combine like terms: 3 + -8 = -5
2[-5 + 5r] + -1r = -16 + 3(2 + 3r)
[-5 * 2 + 5r * 2] + -1r = -16 + 3(2 + 3r)
[-10 + 10r] + -1r = -16 + 3(2 + 3r)

Combine like terms: 10r + -1r = 9r
-10 + 9r = -16 + 3(2 + 3r)
-10 + 9r = -16 + (2 * 3 + 3r * 3)
-10 + 9r = -16 + (6 + 9r)

Combine like terms: -16 + 6 = -10
-10 + 9r = -10 + 9r

Add '10' to each side of the equation.
-10 + 10 + 9r = -10 + 10 + 9r

Combine like terms: -10 + 10 = 0
0 + 9r = -10 + 10 + 9r
9r = -10 + 10 + 9r

Combine like terms: -10 + 10 = 0
9r = 0 + 9r
9r = 9r

Add '-9r' to each side of the equation.
9r + -9r = 9r + -9r

Combine like terms: 9r + -9r = 0
0 = 9r + -9r

Combine like terms: 9r + -9r = 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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