7(7-r)=3(r+8)

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Solution for 7(7-r)=3(r+8) equation:


Simplifying
7(7 + -1r) = 3(r + 8)
(7 * 7 + -1r * 7) = 3(r + 8)
(49 + -7r) = 3(r + 8)

Reorder the terms:
49 + -7r = 3(8 + r)
49 + -7r = (8 * 3 + r * 3)
49 + -7r = (24 + 3r)

Solving
49 + -7r = 24 + 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.
49 + -7r + -3r = 24 + 3r + -3r

Combine like terms: -7r + -3r = -10r
49 + -10r = 24 + 3r + -3r

Combine like terms: 3r + -3r = 0
49 + -10r = 24 + 0
49 + -10r = 24

Add '-49' to each side of the equation.
49 + -49 + -10r = 24 + -49

Combine like terms: 49 + -49 = 0
0 + -10r = 24 + -49
-10r = 24 + -49

Combine like terms: 24 + -49 = -25
-10r = -25

Divide each side by '-10'.
r = 2.5

Simplifying
r = 2.5

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