5z+2=10z+8

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Solution for 5z+2=10z+8 equation:


Simplifying
5z + 2 = 10z + 8

Reorder the terms:
2 + 5z = 10z + 8

Reorder the terms:
2 + 5z = 8 + 10z

Solving
2 + 5z = 8 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
2 + 5z + -10z = 8 + 10z + -10z

Combine like terms: 5z + -10z = -5z
2 + -5z = 8 + 10z + -10z

Combine like terms: 10z + -10z = 0
2 + -5z = 8 + 0
2 + -5z = 8

Add '-2' to each side of the equation.
2 + -2 + -5z = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -5z = 8 + -2
-5z = 8 + -2

Combine like terms: 8 + -2 = 6
-5z = 6

Divide each side by '-5'.
z = -1.2

Simplifying
z = -1.2

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