10-7r=-(r+2)

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Solution for 10-7r=-(r+2) equation: 


Simplifying
10 + -7r = -1(r + 2)

Reorder the terms:
10 + -7r = -1(2 + r)
10 + -7r = (2 * -1 + r * -1)
10 + -7r = (-2 + -1r)

Solving
10 + -7r = -2 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
10 + -7r + r = -2 + -1r + r

Combine like terms: -7r + r = -6r
10 + -6r = -2 + -1r + r

Combine like terms: -1r + r = 0
10 + -6r = -2 + 0
10 + -6r = -2

Add '-10' to each side of the equation.
10 + -10 + -6r = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -6r = -2 + -10
-6r = -2 + -10

Combine like terms: -2 + -10 = -12
-6r = -12

Divide each side by '-6'.
r = 2

Simplifying
r = 2

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