6(4z-1)-5(z+6)=10(z+1)

Solution for 6(4z-1)-5(z+6)=10(z+1) equation:

Simplifying
6(4z + -1) + -5(z + 6) = 10(z + 1)

Reorder the terms:
6(-1 + 4z) + -5(z + 6) = 10(z + 1)
(-1 * 6 + 4z * 6) + -5(z + 6) = 10(z + 1)
(-6 + 24z) + -5(z + 6) = 10(z + 1)

Reorder the terms:
-6 + 24z + -5(6 + z) = 10(z + 1)
-6 + 24z + (6 * -5 + z * -5) = 10(z + 1)
-6 + 24z + (-30 + -5z) = 10(z + 1)

Reorder the terms:
-6 + -30 + 24z + -5z = 10(z + 1)

Combine like terms: -6 + -30 = -36
-36 + 24z + -5z = 10(z + 1)

Combine like terms: 24z + -5z = 19z
-36 + 19z = 10(z + 1)

Reorder the terms:
-36 + 19z = 10(1 + z)
-36 + 19z = (1 * 10 + z * 10)
-36 + 19z = (10 + 10z)

Solving
-36 + 19z = 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.
-36 + 19z + -10z = 10 + 10z + -10z

Combine like terms: 19z + -10z = 9z
-36 + 9z = 10 + 10z + -10z

Combine like terms: 10z + -10z = 0
-36 + 9z = 10 + 0
-36 + 9z = 10

Add '36' to each side of the equation.
-36 + 36 + 9z = 10 + 36

Combine like terms: -36 + 36 = 0
0 + 9z = 10 + 36
9z = 10 + 36

Combine like terms: 10 + 36 = 46
9z = 46

Divide each side by '9'.
z = 5.111111111

Simplifying
z = 5.111111111