r+3=2(5r-3)

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

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

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

Reorder the terms:
3 + r = 2(-3 + 5r)
3 + r = (-3 * 2 + 5r * 2)
3 + r = (-6 + 10r)

Solving
3 + r = -6 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
3 + r + -10r = -6 + 10r + -10r

Combine like terms: r + -10r = -9r
3 + -9r = -6 + 10r + -10r

Combine like terms: 10r + -10r = 0
3 + -9r = -6 + 0
3 + -9r = -6

Add '-3' to each side of the equation.
3 + -3 + -9r = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -9r = -6 + -3
-9r = -6 + -3

Combine like terms: -6 + -3 = -9
-9r = -9

Divide each side by '-9'.
r = 1

Simplifying
r = 1