10(z+1)-3(z-3)=3(z-3)+3(z-3)

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Solution for 10(z+1)-3(z-3)=3(z-3)+3(z-3) equation: 


Simplifying
10(z + 1) + -3(z + -3) = 3(z + -3) + 3(z + -3)

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

Reorder the terms:
10 + 10z + -3(-3 + z) = 3(z + -3) + 3(z + -3)
10 + 10z + (-3 * -3 + z * -3) = 3(z + -3) + 3(z + -3)
10 + 10z + (9 + -3z) = 3(z + -3) + 3(z + -3)

Reorder the terms:
10 + 9 + 10z + -3z = 3(z + -3) + 3(z + -3)

Combine like terms: 10 + 9 = 19
19 + 10z + -3z = 3(z + -3) + 3(z + -3)

Combine like terms: 10z + -3z = 7z
19 + 7z = 3(z + -3) + 3(z + -3)

Reorder the terms:
19 + 7z = 3(-3 + z) + 3(z + -3)
19 + 7z = (-3 * 3 + z * 3) + 3(z + -3)
19 + 7z = (-9 + 3z) + 3(z + -3)

Reorder the terms:
19 + 7z = -9 + 3z + 3(-3 + z)
19 + 7z = -9 + 3z + (-3 * 3 + z * 3)
19 + 7z = -9 + 3z + (-9 + 3z)

Reorder the terms:
19 + 7z = -9 + -9 + 3z + 3z

Combine like terms: -9 + -9 = -18
19 + 7z = -18 + 3z + 3z

Combine like terms: 3z + 3z = 6z
19 + 7z = -18 + 6z

Solving
19 + 7z = -18 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
19 + 7z + -6z = -18 + 6z + -6z

Combine like terms: 7z + -6z = 1z
19 + 1z = -18 + 6z + -6z

Combine like terms: 6z + -6z = 0
19 + 1z = -18 + 0
19 + 1z = -18

Add '-19' to each side of the equation.
19 + -19 + 1z = -18 + -19

Combine like terms: 19 + -19 = 0
0 + 1z = -18 + -19
1z = -18 + -19

Combine like terms: -18 + -19 = -37
1z = -37

Divide each side by '1'.
z = -37

Simplifying
z = -37

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