10+5(z-2)=2z+4

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Solution for 10+5(z-2)=2z+4 equation:


Simplifying
10 + 5(z + -2) = 2z + 4

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

Combine like terms: 10 + -10 = 0
0 + 5z = 2z + 4
5z = 2z + 4

Reorder the terms:
5z = 4 + 2z

Solving
5z = 4 + 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.
5z + -2z = 4 + 2z + -2z

Combine like terms: 5z + -2z = 3z
3z = 4 + 2z + -2z

Combine like terms: 2z + -2z = 0
3z = 4 + 0
3z = 4

Divide each side by '3'.
z = 1.333333333

Simplifying
z = 1.333333333

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