0.3(2z+5)+0.1=0.4(2z-6)

Solution for 0.3(2z+5)+0.1=0.4(2z-6) equation:

Simplifying
0.3(2z + 5) + 0.1 = 0.4(2z + -6)

Reorder the terms:
0.3(5 + 2z) + 0.1 = 0.4(2z + -6)
(5 * 0.3 + 2z * 0.3) + 0.1 = 0.4(2z + -6)
(1.5 + 0.6z) + 0.1 = 0.4(2z + -6)

Reorder the terms:
1.5 + 0.1 + 0.6z = 0.4(2z + -6)

Combine like terms: 1.5 + 0.1 = 1.6
1.6 + 0.6z = 0.4(2z + -6)

Reorder the terms:
1.6 + 0.6z = 0.4(-6 + 2z)
1.6 + 0.6z = (-6 * 0.4 + 2z * 0.4)
1.6 + 0.6z = (-2.4 + 0.8z)

Solving
1.6 + 0.6z = -2.4 + 0.8z

Solving for variable 'z'.

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

Add '-0.8z' to each side of the equation.
1.6 + 0.6z + -0.8z = -2.4 + 0.8z + -0.8z

Combine like terms: 0.6z + -0.8z = -0.2z
1.6 + -0.2z = -2.4 + 0.8z + -0.8z

Combine like terms: 0.8z + -0.8z = 0.0
1.6 + -0.2z = -2.4 + 0.0
1.6 + -0.2z = -2.4

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -0.2z = -2.4 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.2z = -2.4 + -1.6
-0.2z = -2.4 + -1.6

Combine like terms: -2.4 + -1.6 = -4
-0.2z = -4

Divide each side by '-0.2'.
z = 20

Simplifying
z = 20