-5z+8=2(2z-5)

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


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

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

Reorder the terms:
8 + -5z = 2(-5 + 2z)
8 + -5z = (-5 * 2 + 2z * 2)
8 + -5z = (-10 + 4z)

Solving
8 + -5z = -10 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
8 + -5z + -4z = -10 + 4z + -4z

Combine like terms: -5z + -4z = -9z
8 + -9z = -10 + 4z + -4z

Combine like terms: 4z + -4z = 0
8 + -9z = -10 + 0
8 + -9z = -10

Add '-8' to each side of the equation.
8 + -8 + -9z = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -9z = -10 + -8
-9z = -10 + -8

Combine like terms: -10 + -8 = -18
-9z = -18

Divide each side by '-9'.
z = 2

Simplifying
z = 2

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