0.3(2m-1)-2.3=0.04(m+5)

Solution for 0.3(2m-1)-2.3=0.04(m+5) equation:

Simplifying
0.3(2m + -1) + -2.3 = 0.04(m + 5)

Reorder the terms:
0.3(-1 + 2m) + -2.3 = 0.04(m + 5)
(-1 * 0.3 + 2m * 0.3) + -2.3 = 0.04(m + 5)
(-0.3 + 0.6m) + -2.3 = 0.04(m + 5)

Reorder the terms:
-0.3 + -2.3 + 0.6m = 0.04(m + 5)

Combine like terms: -0.3 + -2.3 = -2.6
-2.6 + 0.6m = 0.04(m + 5)

Reorder the terms:
-2.6 + 0.6m = 0.04(5 + m)
-2.6 + 0.6m = (5 * 0.04 + m * 0.04)
-2.6 + 0.6m = (0.2 + 0.04m)

Solving
-2.6 + 0.6m = 0.2 + 0.04m

Solving for variable 'm'.

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

Add '-0.04m' to each side of the equation.
-2.6 + 0.6m + -0.04m = 0.2 + 0.04m + -0.04m

Combine like terms: 0.6m + -0.04m = 0.56m
-2.6 + 0.56m = 0.2 + 0.04m + -0.04m

Combine like terms: 0.04m + -0.04m = 0.00
-2.6 + 0.56m = 0.2 + 0.00
-2.6 + 0.56m = 0.2

Add '2.6' to each side of the equation.
-2.6 + 2.6 + 0.56m = 0.2 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + 0.56m = 0.2 + 2.6
0.56m = 0.2 + 2.6

Combine like terms: 0.2 + 2.6 = 2.8
0.56m = 2.8

Divide each side by '0.56'.
m = 5

Simplifying
m = 5