(2z-3)=5(4z-8)

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Solution for (2z-3)=5(4z-8) equation:


Simplifying
(2z + -3) = 5(4z + -8)

Reorder the terms:
(-3 + 2z) = 5(4z + -8)

Remove parenthesis around (-3 + 2z)
-3 + 2z = 5(4z + -8)

Reorder the terms:
-3 + 2z = 5(-8 + 4z)
-3 + 2z = (-8 * 5 + 4z * 5)
-3 + 2z = (-40 + 20z)

Solving
-3 + 2z = -40 + 20z

Solving for variable 'z'.

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

Add '-20z' to each side of the equation.
-3 + 2z + -20z = -40 + 20z + -20z

Combine like terms: 2z + -20z = -18z
-3 + -18z = -40 + 20z + -20z

Combine like terms: 20z + -20z = 0
-3 + -18z = -40 + 0
-3 + -18z = -40

Add '3' to each side of the equation.
-3 + 3 + -18z = -40 + 3

Combine like terms: -3 + 3 = 0
0 + -18z = -40 + 3
-18z = -40 + 3

Combine like terms: -40 + 3 = -37
-18z = -37

Divide each side by '-18'.
z = 2.055555556

Simplifying
z = 2.055555556

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