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

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

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

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

Reorder the terms:
-5 + 10z + -4(8 + z) = 3(z + 1)
-5 + 10z + (8 * -4 + z * -4) = 3(z + 1)
-5 + 10z + (-32 + -4z) = 3(z + 1)

Reorder the terms:
-5 + -32 + 10z + -4z = 3(z + 1)

Combine like terms: -5 + -32 = -37
-37 + 10z + -4z = 3(z + 1)

Combine like terms: 10z + -4z = 6z
-37 + 6z = 3(z + 1)

Reorder the terms:
-37 + 6z = 3(1 + z)
-37 + 6z = (1 * 3 + z * 3)
-37 + 6z = (3 + 3z)

Solving
-37 + 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.
-37 + 6z + -3z = 3 + 3z + -3z

Combine like terms: 6z + -3z = 3z
-37 + 3z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-37 + 3z = 3 + 0
-37 + 3z = 3

Add '37' to each side of the equation.
-37 + 37 + 3z = 3 + 37

Combine like terms: -37 + 37 = 0
0 + 3z = 3 + 37
3z = 3 + 37

Combine like terms: 3 + 37 = 40
3z = 40

Divide each side by '3'.
z = 13.33333333

Simplifying
z = 13.33333333