2(7-x)-20=7x-3(2+3r)

Solution for 2(7-x)-20=7x-3(2+3r) equation:

Simplifying
2(7 + -1x) + -20 = 7x + -3(2 + 3r)
(7 * 2 + -1x * 2) + -20 = 7x + -3(2 + 3r)
(14 + -2x) + -20 = 7x + -3(2 + 3r)

Reorder the terms:
14 + -20 + -2x = 7x + -3(2 + 3r)

Combine like terms: 14 + -20 = -6
-6 + -2x = 7x + -3(2 + 3r)
-6 + -2x = 7x + (2 * -3 + 3r * -3)
-6 + -2x = 7x + (-6 + -9r)

Reorder the terms:
-6 + -2x = -6 + -9r + 7x

Add '6' to each side of the equation.
-6 + 6 + -2x = -6 + -9r + 6 + 7x

Combine like terms: -6 + 6 = 0
0 + -2x = -6 + -9r + 6 + 7x
-2x = -6 + -9r + 6 + 7x

Reorder the terms:
-2x = -6 + 6 + -9r + 7x

Combine like terms: -6 + 6 = 0
-2x = 0 + -9r + 7x
-2x = -9r + 7x

Solving
-2x = -9r + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2x + -7x = -9r + 7x + -7x

Combine like terms: -2x + -7x = -9x
-9x = -9r + 7x + -7x

Combine like terms: 7x + -7x = 0
-9x = -9r + 0
-9x = -9r

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

Simplifying
x = r