10z+8=5z-3

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Solution for 10z+8=5z-3 equation:


Simplifying
10z + 8 = 5z + -3

Reorder the terms:
8 + 10z = 5z + -3

Reorder the terms:
8 + 10z = -3 + 5z

Solving
8 + 10z = -3 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
8 + 10z + -5z = -3 + 5z + -5z

Combine like terms: 10z + -5z = 5z
8 + 5z = -3 + 5z + -5z

Combine like terms: 5z + -5z = 0
8 + 5z = -3 + 0
8 + 5z = -3

Add '-8' to each side of the equation.
8 + -8 + 5z = -3 + -8

Combine like terms: 8 + -8 = 0
0 + 5z = -3 + -8
5z = -3 + -8

Combine like terms: -3 + -8 = -11
5z = -11

Divide each side by '5'.
z = -2.2

Simplifying
z = -2.2

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