10z+2=3x-2z

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Solution for 10z+2=3x-2z equation:


Simplifying
10z + 2 = 3x + -2z

Reorder the terms:
2 + 10z = 3x + -2z

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

Combine like terms: 10z + 2z = 12z
2 + 12z = 3x + -2z + 2z

Combine like terms: -2z + 2z = 0
2 + 12z = 3x + 0
2 + 12z = 3x

Add '-2' to each side of the equation.
2 + -2 + 12z = -2 + 3x

Combine like terms: 2 + -2 = 0
0 + 12z = -2 + 3x
12z = -2 + 3x

Divide each side by '12'.
z = -0.1666666667 + 0.25x

Simplifying
z = -0.1666666667 + 0.25x

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