.3(2z+5)+2.3=.7(2z-6)

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Solution for .3(2z+5)+2.3=.7(2z-6) equation: 


Simplifying
0.3(2z + 5) + 2.3 = 0.7(2z + -6)

Reorder the terms:
0.3(5 + 2z) + 2.3 = 0.7(2z + -6)
(5 * 0.3 + 2z * 0.3) + 2.3 = 0.7(2z + -6)
(1.5 + 0.6z) + 2.3 = 0.7(2z + -6)

Reorder the terms:
1.5 + 2.3 + 0.6z = 0.7(2z + -6)

Combine like terms: 1.5 + 2.3 = 3.8
3.8 + 0.6z = 0.7(2z + -6)

Reorder the terms:
3.8 + 0.6z = 0.7(-6 + 2z)
3.8 + 0.6z = (-6 * 0.7 + 2z * 0.7)
3.8 + 0.6z = (-4.2 + 1.4z)

Solving
3.8 + 0.6z = -4.2 + 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.
3.8 + 0.6z + -1.4z = -4.2 + 1.4z + -1.4z

Combine like terms: 0.6z + -1.4z = -0.8z
3.8 + -0.8z = -4.2 + 1.4z + -1.4z

Combine like terms: 1.4z + -1.4z = 0.0
3.8 + -0.8z = -4.2 + 0.0
3.8 + -0.8z = -4.2

Add '-3.8' to each side of the equation.
3.8 + -3.8 + -0.8z = -4.2 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + -0.8z = -4.2 + -3.8
-0.8z = -4.2 + -3.8

Combine like terms: -4.2 + -3.8 = -8
-0.8z = -8

Divide each side by '-0.8'.
z = 10

Simplifying
z = 10

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