13+2(1-r)=8r-5(r+7)

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Solution for 13+2(1-r)=8r-5(r+7) equation: 


Simplifying
13 + 2(1 + -1r) = 8r + -5(r + 7)
13 + (1 * 2 + -1r * 2) = 8r + -5(r + 7)
13 + (2 + -2r) = 8r + -5(r + 7)

Combine like terms: 13 + 2 = 15
15 + -2r = 8r + -5(r + 7)

Reorder the terms:
15 + -2r = 8r + -5(7 + r)
15 + -2r = 8r + (7 * -5 + r * -5)
15 + -2r = 8r + (-35 + -5r)

Reorder the terms:
15 + -2r = -35 + 8r + -5r

Combine like terms: 8r + -5r = 3r
15 + -2r = -35 + 3r

Solving
15 + -2r = -35 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
15 + -2r + -3r = -35 + 3r + -3r

Combine like terms: -2r + -3r = -5r
15 + -5r = -35 + 3r + -3r

Combine like terms: 3r + -3r = 0
15 + -5r = -35 + 0
15 + -5r = -35

Add '-15' to each side of the equation.
15 + -15 + -5r = -35 + -15

Combine like terms: 15 + -15 = 0
0 + -5r = -35 + -15
-5r = -35 + -15

Combine like terms: -35 + -15 = -50
-5r = -50

Divide each side by '-5'.
r = 10

Simplifying
r = 10

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