2(5z-1)-4(z+8)=3(z+1)

Solution for 2(5z-1)-4(z+8)=3(z+1) equation:

Simplifying
2(5z + -1) + -4(z + 8) = 3(z + 1)

Reorder the terms:
2(-1 + 5z) + -4(z + 8) = 3(z + 1)
(-1 * 2 + 5z * 2) + -4(z + 8) = 3(z + 1)
(-2 + 10z) + -4(z + 8) = 3(z + 1)

Reorder the terms:
-2 + 10z + -4(8 + z) = 3(z + 1)
-2 + 10z + (8 * -4 + z * -4) = 3(z + 1)
-2 + 10z + (-32 + -4z) = 3(z + 1)

Reorder the terms:
-2 + -32 + 10z + -4z = 3(z + 1)

Combine like terms: -2 + -32 = -34
-34 + 10z + -4z = 3(z + 1)

Combine like terms: 10z + -4z = 6z
-34 + 6z = 3(z + 1)

Reorder the terms:
-34 + 6z = 3(1 + z)
-34 + 6z = (1 * 3 + z * 3)
-34 + 6z = (3 + 3z)

Solving
-34 + 6z = 3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-34 + 6z + -3z = 3 + 3z + -3z

Combine like terms: 6z + -3z = 3z
-34 + 3z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-34 + 3z = 3 + 0
-34 + 3z = 3

Add '34' to each side of the equation.
-34 + 34 + 3z = 3 + 34

Combine like terms: -34 + 34 = 0
0 + 3z = 3 + 34
3z = 3 + 34

Combine like terms: 3 + 34 = 37
3z = 37

Divide each side by '3'.
z = 12.33333333

Simplifying
z = 12.33333333