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

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

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

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

Reorder the terms:
-5 + 10z + -3(8 + z) = 2(z + 1)
-5 + 10z + (8 * -3 + z * -3) = 2(z + 1)
-5 + 10z + (-24 + -3z) = 2(z + 1)

Reorder the terms:
-5 + -24 + 10z + -3z = 2(z + 1)

Combine like terms: -5 + -24 = -29
-29 + 10z + -3z = 2(z + 1)

Combine like terms: 10z + -3z = 7z
-29 + 7z = 2(z + 1)

Reorder the terms:
-29 + 7z = 2(1 + z)
-29 + 7z = (1 * 2 + z * 2)
-29 + 7z = (2 + 2z)

Solving
-29 + 7z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-29 + 7z + -2z = 2 + 2z + -2z

Combine like terms: 7z + -2z = 5z
-29 + 5z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-29 + 5z = 2 + 0
-29 + 5z = 2

Add '29' to each side of the equation.
-29 + 29 + 5z = 2 + 29

Combine like terms: -29 + 29 = 0
0 + 5z = 2 + 29
5z = 2 + 29

Combine like terms: 2 + 29 = 31
5z = 31

Divide each side by '5'.
z = 6.2

Simplifying
z = 6.2