0.3(4z+5)+12.1=0.4(4z-6)

Solution for 0.3(4z+5)+12.1=0.4(4z-6) equation:

Simplifying
0.3(4z + 5) + 12.1 = 0.4(4z + -6)

Reorder the terms:
0.3(5 + 4z) + 12.1 = 0.4(4z + -6)
(5 * 0.3 + 4z * 0.3) + 12.1 = 0.4(4z + -6)
(1.5 + 1.2z) + 12.1 = 0.4(4z + -6)

Reorder the terms:
1.5 + 12.1 + 1.2z = 0.4(4z + -6)

Combine like terms: 1.5 + 12.1 = 13.6
13.6 + 1.2z = 0.4(4z + -6)

Reorder the terms:
13.6 + 1.2z = 0.4(-6 + 4z)
13.6 + 1.2z = (-6 * 0.4 + 4z * 0.4)
13.6 + 1.2z = (-2.4 + 1.6z)

Solving
13.6 + 1.2z = -2.4 + 1.6z

Solving for variable 'z'.

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

Add '-1.6z' to each side of the equation.
13.6 + 1.2z + -1.6z = -2.4 + 1.6z + -1.6z

Combine like terms: 1.2z + -1.6z = -0.4z
13.6 + -0.4z = -2.4 + 1.6z + -1.6z

Combine like terms: 1.6z + -1.6z = 0.0
13.6 + -0.4z = -2.4 + 0.0
13.6 + -0.4z = -2.4

Add '-13.6' to each side of the equation.
13.6 + -13.6 + -0.4z = -2.4 + -13.6

Combine like terms: 13.6 + -13.6 = 0.0
0.0 + -0.4z = -2.4 + -13.6
-0.4z = -2.4 + -13.6

Combine like terms: -2.4 + -13.6 = -16
-0.4z = -16

Divide each side by '-0.4'.
z = 40

Simplifying
z = 40