20(1-8r)=10(r+19)

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Solution for 20(1-8r)=10(r+19) equation: 


Simplifying
20(1 + -8r) = 10(r + 19)
(1 * 20 + -8r * 20) = 10(r + 19)
(20 + -160r) = 10(r + 19)

Reorder the terms:
20 + -160r = 10(19 + r)
20 + -160r = (19 * 10 + r * 10)
20 + -160r = (190 + 10r)

Solving
20 + -160r = 190 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
20 + -160r + -10r = 190 + 10r + -10r

Combine like terms: -160r + -10r = -170r
20 + -170r = 190 + 10r + -10r

Combine like terms: 10r + -10r = 0
20 + -170r = 190 + 0
20 + -170r = 190

Add '-20' to each side of the equation.
20 + -20 + -170r = 190 + -20

Combine like terms: 20 + -20 = 0
0 + -170r = 190 + -20
-170r = 190 + -20

Combine like terms: 190 + -20 = 170
-170r = 170

Divide each side by '-170'.
r = -1

Simplifying
r = -1

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