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

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

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

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

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

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

Combine like terms: -2 + -10 = -12
-12 + 10z + -5z = 3(z + 1)

Combine like terms: 10z + -5z = 5z
-12 + 5z = 3(z + 1)

Reorder the terms:
-12 + 5z = 3(1 + z)
-12 + 5z = (1 * 3 + z * 3)
-12 + 5z = (3 + 3z)

Solving
-12 + 5z = 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.
-12 + 5z + -3z = 3 + 3z + -3z

Combine like terms: 5z + -3z = 2z
-12 + 2z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-12 + 2z = 3 + 0
-12 + 2z = 3

Add '12' to each side of the equation.
-12 + 12 + 2z = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 2z = 3 + 12
2z = 3 + 12

Combine like terms: 3 + 12 = 15
2z = 15

Divide each side by '2'.
z = 7.5

Simplifying
z = 7.5