2(r+-4)=5(r+(-7))

Solution for 2(r+-4)=5(r+(-7)) equation:

Simplifying
2(r + -4) = 5(r + (-7))

Reorder the terms:
2(-4 + r) = 5(r + (-7))
(-4 * 2 + r * 2) = 5(r + (-7))
(-8 + 2r) = 5(r + (-7))
-8 + 2r = 5(r + -7)

Reorder the terms:
-8 + 2r = 5(-7 + r)
-8 + 2r = (-7 * 5 + r * 5)
-8 + 2r = (-35 + 5r)

Solving
-8 + 2r = -35 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-8 + 2r + -5r = -35 + 5r + -5r

Combine like terms: 2r + -5r = -3r
-8 + -3r = -35 + 5r + -5r

Combine like terms: 5r + -5r = 0
-8 + -3r = -35 + 0
-8 + -3r = -35

Add '8' to each side of the equation.
-8 + 8 + -3r = -35 + 8

Combine like terms: -8 + 8 = 0
0 + -3r = -35 + 8
-3r = -35 + 8

Combine like terms: -35 + 8 = -27
-3r = -27

Divide each side by '-3'.
r = 9

Simplifying
r = 9