-[10z-(21z+3)]=3+(10z+2)

Solution for -[10z-(21z+3)]=3+(10z+2) equation:

Simplifying
-1[10z + -1(21z + 3)] = 3 + (10z + 2)

Reorder the terms:
-1[10z + -1(3 + 21z)] = 3 + (10z + 2)
-1[10z + (3 * -1 + 21z * -1)] = 3 + (10z + 2)
-1[10z + (-3 + -21z)] = 3 + (10z + 2)

Reorder the terms:
-1[-3 + 10z + -21z] = 3 + (10z + 2)

Combine like terms: 10z + -21z = -11z
-1[-3 + -11z] = 3 + (10z + 2)
[-3 * -1 + -11z * -1] = 3 + (10z + 2)
[3 + 11z] = 3 + (10z + 2)

Reorder the terms:
3 + 11z = 3 + (2 + 10z)

Remove parenthesis around (2 + 10z)
3 + 11z = 3 + 2 + 10z

Combine like terms: 3 + 2 = 5
3 + 11z = 5 + 10z

Solving
3 + 11z = 5 + 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.
3 + 11z + -10z = 5 + 10z + -10z

Combine like terms: 11z + -10z = 1z
3 + 1z = 5 + 10z + -10z

Combine like terms: 10z + -10z = 0
3 + 1z = 5 + 0
3 + 1z = 5

Add '-3' to each side of the equation.
3 + -3 + 1z = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 1z = 5 + -3
1z = 5 + -3

Combine like terms: 5 + -3 = 2
1z = 2

Divide each side by '1'.
z = 2

Simplifying
z = 2