3(2r+14)=2(25+4r)

Solution for 3(2r+14)=2(25+4r) equation:

Simplifying
3(2r + 14) = 2(25 + 4r)

Reorder the terms:
3(14 + 2r) = 2(25 + 4r)
(14 * 3 + 2r * 3) = 2(25 + 4r)
(42 + 6r) = 2(25 + 4r)
42 + 6r = (25 * 2 + 4r * 2)
42 + 6r = (50 + 8r)

Solving
42 + 6r = 50 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
42 + 6r + -8r = 50 + 8r + -8r

Combine like terms: 6r + -8r = -2r
42 + -2r = 50 + 8r + -8r

Combine like terms: 8r + -8r = 0
42 + -2r = 50 + 0
42 + -2r = 50

Add '-42' to each side of the equation.
42 + -42 + -2r = 50 + -42

Combine like terms: 42 + -42 = 0
0 + -2r = 50 + -42
-2r = 50 + -42

Combine like terms: 50 + -42 = 8
-2r = 8

Divide each side by '-2'.
r = -4

Simplifying
r = -4