0.4(4z+5)+7.2=0.7(4z-4)

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Solution for 0.4(4z+5)+7.2=0.7(4z-4) equation: 


Simplifying
0.4(4z + 5) + 7.2 = 0.7(4z + -4)

Reorder the terms:
0.4(5 + 4z) + 7.2 = 0.7(4z + -4)
(5 * 0.4 + 4z * 0.4) + 7.2 = 0.7(4z + -4)
(2 + 1.6z) + 7.2 = 0.7(4z + -4)

Reorder the terms:
2 + 7.2 + 1.6z = 0.7(4z + -4)

Combine like terms: 2 + 7.2 = 9.2
9.2 + 1.6z = 0.7(4z + -4)

Reorder the terms:
9.2 + 1.6z = 0.7(-4 + 4z)
9.2 + 1.6z = (-4 * 0.7 + 4z * 0.7)
9.2 + 1.6z = (-2.8 + 2.8z)

Solving
9.2 + 1.6z = -2.8 + 2.8z

Solving for variable 'z'.

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

Add '-2.8z' to each side of the equation.
9.2 + 1.6z + -2.8z = -2.8 + 2.8z + -2.8z

Combine like terms: 1.6z + -2.8z = -1.2z
9.2 + -1.2z = -2.8 + 2.8z + -2.8z

Combine like terms: 2.8z + -2.8z = 0.0
9.2 + -1.2z = -2.8 + 0.0
9.2 + -1.2z = -2.8

Add '-9.2' to each side of the equation.
9.2 + -9.2 + -1.2z = -2.8 + -9.2

Combine like terms: 9.2 + -9.2 = 0.0
0.0 + -1.2z = -2.8 + -9.2
-1.2z = -2.8 + -9.2

Combine like terms: -2.8 + -9.2 = -12
-1.2z = -12

Divide each side by '-1.2'.
z = 10

Simplifying
z = 10

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