0.3(2z+6)+10.7=0.7(2z-5)

Solution for 0.3(2z+6)+10.7=0.7(2z-5) equation:

Simplifying
0.3(2z + 6) + 10.7 = 0.7(2z + -5)

Reorder the terms:
0.3(6 + 2z) + 10.7 = 0.7(2z + -5)
(6 * 0.3 + 2z * 0.3) + 10.7 = 0.7(2z + -5)
(1.8 + 0.6z) + 10.7 = 0.7(2z + -5)

Reorder the terms:
1.8 + 10.7 + 0.6z = 0.7(2z + -5)

Combine like terms: 1.8 + 10.7 = 12.5
12.5 + 0.6z = 0.7(2z + -5)

Reorder the terms:
12.5 + 0.6z = 0.7(-5 + 2z)
12.5 + 0.6z = (-5 * 0.7 + 2z * 0.7)
12.5 + 0.6z = (-3.5 + 1.4z)

Solving
12.5 + 0.6z = -3.5 + 1.4z

Solving for variable 'z'.

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

Add '-1.4z' to each side of the equation.
12.5 + 0.6z + -1.4z = -3.5 + 1.4z + -1.4z

Combine like terms: 0.6z + -1.4z = -0.8z
12.5 + -0.8z = -3.5 + 1.4z + -1.4z

Combine like terms: 1.4z + -1.4z = 0.0
12.5 + -0.8z = -3.5 + 0.0
12.5 + -0.8z = -3.5

Add '-12.5' to each side of the equation.
12.5 + -12.5 + -0.8z = -3.5 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -0.8z = -3.5 + -12.5
-0.8z = -3.5 + -12.5

Combine like terms: -3.5 + -12.5 = -16
-0.8z = -16

Divide each side by '-0.8'.
z = 20

Simplifying
z = 20