5(6z-1)-2(z+1)=10(z+1)

Solution for 5(6z-1)-2(z+1)=10(z+1) equation:

Simplifying
5(6z + -1) + -2(z + 1) = 10(z + 1)

Reorder the terms:
5(-1 + 6z) + -2(z + 1) = 10(z + 1)
(-1 * 5 + 6z * 5) + -2(z + 1) = 10(z + 1)
(-5 + 30z) + -2(z + 1) = 10(z + 1)

Reorder the terms:
-5 + 30z + -2(1 + z) = 10(z + 1)
-5 + 30z + (1 * -2 + z * -2) = 10(z + 1)
-5 + 30z + (-2 + -2z) = 10(z + 1)

Reorder the terms:
-5 + -2 + 30z + -2z = 10(z + 1)

Combine like terms: -5 + -2 = -7
-7 + 30z + -2z = 10(z + 1)

Combine like terms: 30z + -2z = 28z
-7 + 28z = 10(z + 1)

Reorder the terms:
-7 + 28z = 10(1 + z)
-7 + 28z = (1 * 10 + z * 10)
-7 + 28z = (10 + 10z)

Solving
-7 + 28z = 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.
-7 + 28z + -10z = 10 + 10z + -10z

Combine like terms: 28z + -10z = 18z
-7 + 18z = 10 + 10z + -10z

Combine like terms: 10z + -10z = 0
-7 + 18z = 10 + 0
-7 + 18z = 10

Add '7' to each side of the equation.
-7 + 7 + 18z = 10 + 7

Combine like terms: -7 + 7 = 0
0 + 18z = 10 + 7
18z = 10 + 7

Combine like terms: 10 + 7 = 17
18z = 17

Divide each side by '18'.
z = 0.9444444444

Simplifying
z = 0.9444444444