5-(r-7)=20+7r

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Solution for 5-(r-7)=20+7r equation:


Simplifying
5 + -1(r + -7) = 20 + 7r

Reorder the terms:
5 + -1(-7 + r) = 20 + 7r
5 + (-7 * -1 + r * -1) = 20 + 7r
5 + (7 + -1r) = 20 + 7r

Combine like terms: 5 + 7 = 12
12 + -1r = 20 + 7r

Solving
12 + -1r = 20 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
12 + -1r + -7r = 20 + 7r + -7r

Combine like terms: -1r + -7r = -8r
12 + -8r = 20 + 7r + -7r

Combine like terms: 7r + -7r = 0
12 + -8r = 20 + 0
12 + -8r = 20

Add '-12' to each side of the equation.
12 + -12 + -8r = 20 + -12

Combine like terms: 12 + -12 = 0
0 + -8r = 20 + -12
-8r = 20 + -12

Combine like terms: 20 + -12 = 8
-8r = 8

Divide each side by '-8'.
r = -1

Simplifying
r = -1

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