0.5(3z+5)+7.1=0.6(3z-4)

Solution for 0.5(3z+5)+7.1=0.6(3z-4) equation:

Simplifying
0.5(3z + 5) + 7.1 = 0.6(3z + -4)

Reorder the terms:
0.5(5 + 3z) + 7.1 = 0.6(3z + -4)
(5 * 0.5 + 3z * 0.5) + 7.1 = 0.6(3z + -4)
(2.5 + 1.5z) + 7.1 = 0.6(3z + -4)

Reorder the terms:
2.5 + 7.1 + 1.5z = 0.6(3z + -4)

Combine like terms: 2.5 + 7.1 = 9.6
9.6 + 1.5z = 0.6(3z + -4)

Reorder the terms:
9.6 + 1.5z = 0.6(-4 + 3z)
9.6 + 1.5z = (-4 * 0.6 + 3z * 0.6)
9.6 + 1.5z = (-2.4 + 1.8z)

Solving
9.6 + 1.5z = -2.4 + 1.8z

Solving for variable 'z'.

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

Add '-1.8z' to each side of the equation.
9.6 + 1.5z + -1.8z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.5z + -1.8z = -0.3z
9.6 + -0.3z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
9.6 + -0.3z = -2.4 + 0.0
9.6 + -0.3z = -2.4

Add '-9.6' to each side of the equation.
9.6 + -9.6 + -0.3z = -2.4 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + -0.3z = -2.4 + -9.6
-0.3z = -2.4 + -9.6

Combine like terms: -2.4 + -9.6 = -12
-0.3z = -12

Divide each side by '-0.3'.
z = 40

Simplifying
z = 40