0.3(3z+5)+2.1=0.4(3z-6)

Solution for 0.3(3z+5)+2.1=0.4(3z-6) equation:

Simplifying
0.3(3z + 5) + 2.1 = 0.4(3z + -6)

Reorder the terms:
0.3(5 + 3z) + 2.1 = 0.4(3z + -6)
(5 * 0.3 + 3z * 0.3) + 2.1 = 0.4(3z + -6)
(1.5 + 0.9z) + 2.1 = 0.4(3z + -6)

Reorder the terms:
1.5 + 2.1 + 0.9z = 0.4(3z + -6)

Combine like terms: 1.5 + 2.1 = 3.6
3.6 + 0.9z = 0.4(3z + -6)

Reorder the terms:
3.6 + 0.9z = 0.4(-6 + 3z)
3.6 + 0.9z = (-6 * 0.4 + 3z * 0.4)
3.6 + 0.9z = (-2.4 + 1.2z)

Solving
3.6 + 0.9z = -2.4 + 1.2z

Solving for variable 'z'.

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

Add '-1.2z' to each side of the equation.
3.6 + 0.9z + -1.2z = -2.4 + 1.2z + -1.2z

Combine like terms: 0.9z + -1.2z = -0.3z
3.6 + -0.3z = -2.4 + 1.2z + -1.2z

Combine like terms: 1.2z + -1.2z = 0.0
3.6 + -0.3z = -2.4 + 0.0
3.6 + -0.3z = -2.4

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -0.3z = -2.4 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -0.3z = -2.4 + -3.6
-0.3z = -2.4 + -3.6

Combine like terms: -2.4 + -3.6 = -6
-0.3z = -6

Divide each side by '-0.3'.
z = 20

Simplifying
z = 20