12-5(2r-13)=3(2r-5)

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Solution for 12-5(2r-13)=3(2r-5) equation: 


Simplifying
12 + -5(2r + -13) = 3(2r + -5)

Reorder the terms:
12 + -5(-13 + 2r) = 3(2r + -5)
12 + (-13 * -5 + 2r * -5) = 3(2r + -5)
12 + (65 + -10r) = 3(2r + -5)

Combine like terms: 12 + 65 = 77
77 + -10r = 3(2r + -5)

Reorder the terms:
77 + -10r = 3(-5 + 2r)
77 + -10r = (-5 * 3 + 2r * 3)
77 + -10r = (-15 + 6r)

Solving
77 + -10r = -15 + 6r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-6r' to each side of the equation.
77 + -10r + -6r = -15 + 6r + -6r

Combine like terms: -10r + -6r = -16r
77 + -16r = -15 + 6r + -6r

Combine like terms: 6r + -6r = 0
77 + -16r = -15 + 0
77 + -16r = -15

Add '-77' to each side of the equation.
77 + -77 + -16r = -15 + -77

Combine like terms: 77 + -77 = 0
0 + -16r = -15 + -77
-16r = -15 + -77

Combine like terms: -15 + -77 = -92
-16r = -92

Divide each side by '-16'.
r = 5.75

Simplifying
r = 5.75

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