0.4-(2r-3)=0.3(r+2)+4

Solution for 0.4-(2r-3)=0.3(r+2)+4 equation:

Simplifying
0.4 + -1(2r + -3) = 0.3(r + 2) + 4

Reorder the terms:
0.4 + -1(-3 + 2r) = 0.3(r + 2) + 4
0.4 + (-3 * -1 + 2r * -1) = 0.3(r + 2) + 4
0.4 + (3 + -2r) = 0.3(r + 2) + 4

Combine like terms: 0.4 + 3 = 3.4
3.4 + -2r = 0.3(r + 2) + 4

Reorder the terms:
3.4 + -2r = 0.3(2 + r) + 4
3.4 + -2r = (2 * 0.3 + r * 0.3) + 4
3.4 + -2r = (0.6 + 0.3r) + 4

Reorder the terms:
3.4 + -2r = 0.6 + 4 + 0.3r

Combine like terms: 0.6 + 4 = 4.6
3.4 + -2r = 4.6 + 0.3r

Solving
3.4 + -2r = 4.6 + 0.3r

Solving for variable 'r'.

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

Add '-0.3r' to each side of the equation.
3.4 + -2r + -0.3r = 4.6 + 0.3r + -0.3r

Combine like terms: -2r + -0.3r = -2.3r
3.4 + -2.3r = 4.6 + 0.3r + -0.3r

Combine like terms: 0.3r + -0.3r = 0.0
3.4 + -2.3r = 4.6 + 0.0
3.4 + -2.3r = 4.6

Add '-3.4' to each side of the equation.
3.4 + -3.4 + -2.3r = 4.6 + -3.4

Combine like terms: 3.4 + -3.4 = 0.0
0.0 + -2.3r = 4.6 + -3.4
-2.3r = 4.6 + -3.4

Combine like terms: 4.6 + -3.4 = 1.2
-2.3r = 1.2

Divide each side by '-2.3'.
r = -0.5217391304

Simplifying
r = -0.5217391304