4r+3(1-2r)=3(5-2r)

Solution for 4r+3(1-2r)=3(5-2r) equation:

Simplifying
4r + 3(1 + -2r) = 3(5 + -2r)
4r + (1 * 3 + -2r * 3) = 3(5 + -2r)
4r + (3 + -6r) = 3(5 + -2r)

Reorder the terms:
3 + 4r + -6r = 3(5 + -2r)

Combine like terms: 4r + -6r = -2r
3 + -2r = 3(5 + -2r)
3 + -2r = (5 * 3 + -2r * 3)
3 + -2r = (15 + -6r)

Solving
3 + -2r = 15 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
3 + -2r + 6r = 15 + -6r + 6r

Combine like terms: -2r + 6r = 4r
3 + 4r = 15 + -6r + 6r

Combine like terms: -6r + 6r = 0
3 + 4r = 15 + 0
3 + 4r = 15

Add '-3' to each side of the equation.
3 + -3 + 4r = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 4r = 15 + -3
4r = 15 + -3

Combine like terms: 15 + -3 = 12
4r = 12

Divide each side by '4'.
r = 3

Simplifying
r = 3