5z+2=2z-10

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


Simplifying
5z + 2 = 2z + -10

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

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

Solving
2 + 5z = -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 + 5z + -2z = -10 + 2z + -2z

Combine like terms: 5z + -2z = 3z
2 + 3z = -10 + 2z + -2z

Combine like terms: 2z + -2z = 0
2 + 3z = -10 + 0
2 + 3z = -10

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

Combine like terms: 2 + -2 = 0
0 + 3z = -10 + -2
3z = -10 + -2

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

Divide each side by '3'.
z = -4

Simplifying
z = -4

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