2(z-1)=4(z+5)-10

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Solution for 2(z-1)=4(z+5)-10 equation: 


Simplifying
2(z + -1) = 4(z + 5) + -10

Reorder the terms:
2(-1 + z) = 4(z + 5) + -10
(-1 * 2 + z * 2) = 4(z + 5) + -10
(-2 + 2z) = 4(z + 5) + -10

Reorder the terms:
-2 + 2z = 4(5 + z) + -10
-2 + 2z = (5 * 4 + z * 4) + -10
-2 + 2z = (20 + 4z) + -10

Reorder the terms:
-2 + 2z = 20 + -10 + 4z

Combine like terms: 20 + -10 = 10
-2 + 2z = 10 + 4z

Solving
-2 + 2z = 10 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-2 + 2z + -4z = 10 + 4z + -4z

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

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

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

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

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

Divide each side by '-2'.
z = -6

Simplifying
z = -6

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