8(2r-3)-r=-3(2x+5)

Solution for 8(2r-3)-r=-3(2x+5) equation:

Simplifying
8(2r + -3) + -1r = -3(2x + 5)

Reorder the terms:
8(-3 + 2r) + -1r = -3(2x + 5)
(-3 * 8 + 2r * 8) + -1r = -3(2x + 5)
(-24 + 16r) + -1r = -3(2x + 5)

Combine like terms: 16r + -1r = 15r
-24 + 15r = -3(2x + 5)

Reorder the terms:
-24 + 15r = -3(5 + 2x)
-24 + 15r = (5 * -3 + 2x * -3)
-24 + 15r = (-15 + -6x)

Solving
-24 + 15r = -15 + -6x

Solving for variable 'r'.

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

Add '24' to each side of the equation.
-24 + 24 + 15r = -15 + 24 + -6x

Combine like terms: -24 + 24 = 0
0 + 15r = -15 + 24 + -6x
15r = -15 + 24 + -6x

Combine like terms: -15 + 24 = 9
15r = 9 + -6x

Divide each side by '15'.
r = 0.6 + -0.4x

Simplifying
r = 0.6 + -0.4x