2(5r+45)=20(2r-24)

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Solution for 2(5r+45)=20(2r-24) equation: 


Simplifying
2(5r + 45) = 20(2r + -24)

Reorder the terms:
2(45 + 5r) = 20(2r + -24)
(45 * 2 + 5r * 2) = 20(2r + -24)
(90 + 10r) = 20(2r + -24)

Reorder the terms:
90 + 10r = 20(-24 + 2r)
90 + 10r = (-24 * 20 + 2r * 20)
90 + 10r = (-480 + 40r)

Solving
90 + 10r = -480 + 40r

Solving for variable 'r'.

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

Add '-40r' to each side of the equation.
90 + 10r + -40r = -480 + 40r + -40r

Combine like terms: 10r + -40r = -30r
90 + -30r = -480 + 40r + -40r

Combine like terms: 40r + -40r = 0
90 + -30r = -480 + 0
90 + -30r = -480

Add '-90' to each side of the equation.
90 + -90 + -30r = -480 + -90

Combine like terms: 90 + -90 = 0
0 + -30r = -480 + -90
-30r = -480 + -90

Combine like terms: -480 + -90 = -570
-30r = -570

Divide each side by '-30'.
r = 19

Simplifying
r = 19

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