13-(r+5)=4(r+7)

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Solution for 13-(r+5)=4(r+7) equation: 


Simplifying
13 + -1(r + 5) = 4(r + 7)

Reorder the terms:
13 + -1(5 + r) = 4(r + 7)
13 + (5 * -1 + r * -1) = 4(r + 7)
13 + (-5 + -1r) = 4(r + 7)

Combine like terms: 13 + -5 = 8
8 + -1r = 4(r + 7)

Reorder the terms:
8 + -1r = 4(7 + r)
8 + -1r = (7 * 4 + r * 4)
8 + -1r = (28 + 4r)

Solving
8 + -1r = 28 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
8 + -1r + -4r = 28 + 4r + -4r

Combine like terms: -1r + -4r = -5r
8 + -5r = 28 + 4r + -4r

Combine like terms: 4r + -4r = 0
8 + -5r = 28 + 0
8 + -5r = 28

Add '-8' to each side of the equation.
8 + -8 + -5r = 28 + -8

Combine like terms: 8 + -8 = 0
0 + -5r = 28 + -8
-5r = 28 + -8

Combine like terms: 28 + -8 = 20
-5r = 20

Divide each side by '-5'.
r = -4

Simplifying
r = -4

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