3(5z-1)-2(z+9)=10(z+1)

Solution for 3(5z-1)-2(z+9)=10(z+1) equation:

Simplifying
3(5z + -1) + -2(z + 9) = 10(z + 1)

Reorder the terms:
3(-1 + 5z) + -2(z + 9) = 10(z + 1)
(-1 * 3 + 5z * 3) + -2(z + 9) = 10(z + 1)
(-3 + 15z) + -2(z + 9) = 10(z + 1)

Reorder the terms:
-3 + 15z + -2(9 + z) = 10(z + 1)
-3 + 15z + (9 * -2 + z * -2) = 10(z + 1)
-3 + 15z + (-18 + -2z) = 10(z + 1)

Reorder the terms:
-3 + -18 + 15z + -2z = 10(z + 1)

Combine like terms: -3 + -18 = -21
-21 + 15z + -2z = 10(z + 1)

Combine like terms: 15z + -2z = 13z
-21 + 13z = 10(z + 1)

Reorder the terms:
-21 + 13z = 10(1 + z)
-21 + 13z = (1 * 10 + z * 10)
-21 + 13z = (10 + 10z)

Solving
-21 + 13z = 10 + 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.
-21 + 13z + -10z = 10 + 10z + -10z

Combine like terms: 13z + -10z = 3z
-21 + 3z = 10 + 10z + -10z

Combine like terms: 10z + -10z = 0
-21 + 3z = 10 + 0
-21 + 3z = 10

Add '21' to each side of the equation.
-21 + 21 + 3z = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 3z = 10 + 21
3z = 10 + 21

Combine like terms: 10 + 21 = 31
3z = 31

Divide each side by '3'.
z = 10.33333333

Simplifying
z = 10.33333333