0.3(2z+5)+11.7=0.7(2z-4)

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Solution for 0.3(2z+5)+11.7=0.7(2z-4) equation: 


Simplifying
0.3(2z + 5) + 11.7 = 0.7(2z + -4)

Reorder the terms:
0.3(5 + 2z) + 11.7 = 0.7(2z + -4)
(5 * 0.3 + 2z * 0.3) + 11.7 = 0.7(2z + -4)
(1.5 + 0.6z) + 11.7 = 0.7(2z + -4)

Reorder the terms:
1.5 + 11.7 + 0.6z = 0.7(2z + -4)

Combine like terms: 1.5 + 11.7 = 13.2
13.2 + 0.6z = 0.7(2z + -4)

Reorder the terms:
13.2 + 0.6z = 0.7(-4 + 2z)
13.2 + 0.6z = (-4 * 0.7 + 2z * 0.7)
13.2 + 0.6z = (-2.8 + 1.4z)

Solving
13.2 + 0.6z = -2.8 + 1.4z

Solving for variable 'z'.

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

Add '-1.4z' to each side of the equation.
13.2 + 0.6z + -1.4z = -2.8 + 1.4z + -1.4z

Combine like terms: 0.6z + -1.4z = -0.8z
13.2 + -0.8z = -2.8 + 1.4z + -1.4z

Combine like terms: 1.4z + -1.4z = 0.0
13.2 + -0.8z = -2.8 + 0.0
13.2 + -0.8z = -2.8

Add '-13.2' to each side of the equation.
13.2 + -13.2 + -0.8z = -2.8 + -13.2

Combine like terms: 13.2 + -13.2 = 0.0
0.0 + -0.8z = -2.8 + -13.2
-0.8z = -2.8 + -13.2

Combine like terms: -2.8 + -13.2 = -16
-0.8z = -16

Divide each side by '-0.8'.
z = 20

Simplifying
z = 20

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