3z-2=2(z-5)

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


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

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

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

Solving
-2 + 3z = -10 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-2 + 3z + -2z = -10 + 2z + -2z

Combine like terms: 3z + -2z = 1z
-2 + 1z = -10 + 2z + -2z

Combine like terms: 2z + -2z = 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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