3z+2(5-z)=-(z-1)+7

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Solution for 3z+2(5-z)=-(z-1)+7 equation: 


Simplifying
3z + 2(5 + -1z) = -1(z + -1) + 7
3z + (5 * 2 + -1z * 2) = -1(z + -1) + 7
3z + (10 + -2z) = -1(z + -1) + 7

Reorder the terms:
10 + 3z + -2z = -1(z + -1) + 7

Combine like terms: 3z + -2z = 1z
10 + 1z = -1(z + -1) + 7

Reorder the terms:
10 + 1z = -1(-1 + z) + 7
10 + 1z = (-1 * -1 + z * -1) + 7
10 + 1z = (1 + -1z) + 7

Reorder the terms:
10 + 1z = 1 + 7 + -1z

Combine like terms: 1 + 7 = 8
10 + 1z = 8 + -1z

Solving
10 + 1z = 8 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
10 + 1z + z = 8 + -1z + z

Combine like terms: 1z + z = 2z
10 + 2z = 8 + -1z + z

Combine like terms: -1z + z = 0
10 + 2z = 8 + 0
10 + 2z = 8

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

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

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

Divide each side by '2'.
z = -1

Simplifying
z = -1

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