2*(r-2)+3=5*r-37

Solution for 2*(r-2)+3=5*r-37 equation:

Simplifying
2(r + -2) + 3 = 5r + -37

Reorder the terms:
2(-2 + r) + 3 = 5r + -37
(-2 * 2 + r * 2) + 3 = 5r + -37
(-4 + 2r) + 3 = 5r + -37

Reorder the terms:
-4 + 3 + 2r = 5r + -37

Combine like terms: -4 + 3 = -1
-1 + 2r = 5r + -37

Reorder the terms:
-1 + 2r = -37 + 5r

Solving
-1 + 2r = -37 + 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.
-1 + 2r + -5r = -37 + 5r + -5r

Combine like terms: 2r + -5r = -3r
-1 + -3r = -37 + 5r + -5r

Combine like terms: 5r + -5r = 0
-1 + -3r = -37 + 0
-1 + -3r = -37

Add '1' to each side of the equation.
-1 + 1 + -3r = -37 + 1

Combine like terms: -1 + 1 = 0
0 + -3r = -37 + 1
-3r = -37 + 1

Combine like terms: -37 + 1 = -36
-3r = -36

Divide each side by '-3'.
r = 12

Simplifying
r = 12