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

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


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

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

Reorder the terms:
-2 + 5z = 2(-5 + 3z)
-2 + 5z = (-5 * 2 + 3z * 2)
-2 + 5z = (-10 + 6z)

Solving
-2 + 5z = -10 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-2 + 5z + -6z = -10 + 6z + -6z

Combine like terms: 5z + -6z = -1z
-2 + -1z = -10 + 6z + -6z

Combine like terms: 6z + -6z = 0
-2 + -1z = -10 + 0
-2 + -1z = -10

Add '2' to each side of the equation.
-2 + 2 + -1z = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -1z = -10 + 2
-1z = -10 + 2

Combine like terms: -10 + 2 = -8
-1z = -8

Divide each side by '-1'.
z = 8

Simplifying
z = 8

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