10-(r+7)=2(r+3)

Solution for 10-(r+7)=2(r+3) equation:

Simplifying
10 + -1(r + 7) = 2(r + 3)

Reorder the terms:
10 + -1(7 + r) = 2(r + 3)
10 + (7 * -1 + r * -1) = 2(r + 3)
10 + (-7 + -1r) = 2(r + 3)

Combine like terms: 10 + -7 = 3
3 + -1r = 2(r + 3)

Reorder the terms:
3 + -1r = 2(3 + r)
3 + -1r = (3 * 2 + r * 2)
3 + -1r = (6 + 2r)

Solving
3 + -1r = 6 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
3 + -1r + -2r = 6 + 2r + -2r

Combine like terms: -1r + -2r = -3r
3 + -3r = 6 + 2r + -2r

Combine like terms: 2r + -2r = 0
3 + -3r = 6 + 0
3 + -3r = 6

Add '-3' to each side of the equation.
3 + -3 + -3r = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -3r = 6 + -3
-3r = 6 + -3

Combine like terms: 6 + -3 = 3
-3r = 3

Divide each side by '-3'.
r = -1

Simplifying
r = -1