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

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

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

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

Reorder the terms:
-2 + 10z + -3(5 + z) = 2(z + 1)
-2 + 10z + (5 * -3 + z * -3) = 2(z + 1)
-2 + 10z + (-15 + -3z) = 2(z + 1)

Reorder the terms:
-2 + -15 + 10z + -3z = 2(z + 1)

Combine like terms: -2 + -15 = -17
-17 + 10z + -3z = 2(z + 1)

Combine like terms: 10z + -3z = 7z
-17 + 7z = 2(z + 1)

Reorder the terms:
-17 + 7z = 2(1 + z)
-17 + 7z = (1 * 2 + z * 2)
-17 + 7z = (2 + 2z)

Solving
-17 + 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.
-17 + 7z + -2z = 2 + 2z + -2z

Combine like terms: 7z + -2z = 5z
-17 + 5z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-17 + 5z = 2 + 0
-17 + 5z = 2

Add '17' to each side of the equation.
-17 + 17 + 5z = 2 + 17

Combine like terms: -17 + 17 = 0
0 + 5z = 2 + 17
5z = 2 + 17

Combine like terms: 2 + 17 = 19
5z = 19

Divide each side by '5'.
z = 3.8

Simplifying
z = 3.8