5(4r+8)=12(5r-20)

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Solution for 5(4r+8)=12(5r-20) equation:


Simplifying
5(4r + 8) = 12(5r + -20)

Reorder the terms:
5(8 + 4r) = 12(5r + -20)
(8 * 5 + 4r * 5) = 12(5r + -20)
(40 + 20r) = 12(5r + -20)

Reorder the terms:
40 + 20r = 12(-20 + 5r)
40 + 20r = (-20 * 12 + 5r * 12)
40 + 20r = (-240 + 60r)

Solving
40 + 20r = -240 + 60r

Solving for variable 'r'.

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

Add '-60r' to each side of the equation.
40 + 20r + -60r = -240 + 60r + -60r

Combine like terms: 20r + -60r = -40r
40 + -40r = -240 + 60r + -60r

Combine like terms: 60r + -60r = 0
40 + -40r = -240 + 0
40 + -40r = -240

Add '-40' to each side of the equation.
40 + -40 + -40r = -240 + -40

Combine like terms: 40 + -40 = 0
0 + -40r = -240 + -40
-40r = -240 + -40

Combine like terms: -240 + -40 = -280
-40r = -280

Divide each side by '-40'.
r = 7

Simplifying
r = 7

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