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

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

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

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

Reorder the terms:
-3 + 3z + 4(3 + z) = 5(2z + -1) + 4(3z + -1)
-3 + 3z + (3 * 4 + z * 4) = 5(2z + -1) + 4(3z + -1)
-3 + 3z + (12 + 4z) = 5(2z + -1) + 4(3z + -1)

Reorder the terms:
-3 + 12 + 3z + 4z = 5(2z + -1) + 4(3z + -1)

Combine like terms: -3 + 12 = 9
9 + 3z + 4z = 5(2z + -1) + 4(3z + -1)

Combine like terms: 3z + 4z = 7z
9 + 7z = 5(2z + -1) + 4(3z + -1)

Reorder the terms:
9 + 7z = 5(-1 + 2z) + 4(3z + -1)
9 + 7z = (-1 * 5 + 2z * 5) + 4(3z + -1)
9 + 7z = (-5 + 10z) + 4(3z + -1)

Reorder the terms:
9 + 7z = -5 + 10z + 4(-1 + 3z)
9 + 7z = -5 + 10z + (-1 * 4 + 3z * 4)
9 + 7z = -5 + 10z + (-4 + 12z)

Reorder the terms:
9 + 7z = -5 + -4 + 10z + 12z

Combine like terms: -5 + -4 = -9
9 + 7z = -9 + 10z + 12z

Combine like terms: 10z + 12z = 22z
9 + 7z = -9 + 22z

Solving
9 + 7z = -9 + 22z

Solving for variable 'z'.

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

Add '-22z' to each side of the equation.
9 + 7z + -22z = -9 + 22z + -22z

Combine like terms: 7z + -22z = -15z
9 + -15z = -9 + 22z + -22z

Combine like terms: 22z + -22z = 0
9 + -15z = -9 + 0
9 + -15z = -9

Add '-9' to each side of the equation.
9 + -9 + -15z = -9 + -9

Combine like terms: 9 + -9 = 0
0 + -15z = -9 + -9
-15z = -9 + -9

Combine like terms: -9 + -9 = -18
-15z = -18

Divide each side by '-15'.
z = 1.2

Simplifying
z = 1.2