0.3(2z+5)+12.5=0.5(2z-4)

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Solution for 0.3(2z+5)+12.5=0.5(2z-4) equation:


Simplifying
0.3(2z + 5) + 12.5 = 0.5(2z + -4)

Reorder the terms:
0.3(5 + 2z) + 12.5 = 0.5(2z + -4)
(5 * 0.3 + 2z * 0.3) + 12.5 = 0.5(2z + -4)
(1.5 + 0.6z) + 12.5 = 0.5(2z + -4)

Reorder the terms:
1.5 + 12.5 + 0.6z = 0.5(2z + -4)

Combine like terms: 1.5 + 12.5 = 14
14 + 0.6z = 0.5(2z + -4)

Reorder the terms:
14 + 0.6z = 0.5(-4 + 2z)
14 + 0.6z = (-4 * 0.5 + 2z * 0.5)
14 + 0.6z = (-2 + 1z)

Solving
14 + 0.6z = -2 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
14 + 0.6z + -1z = -2 + 1z + -1z

Combine like terms: 0.6z + -1z = -0.4z
14 + -0.4z = -2 + 1z + -1z

Combine like terms: 1z + -1z = 0
14 + -0.4z = -2 + 0
14 + -0.4z = -2

Add '-14' to each side of the equation.
14 + -14 + -0.4z = -2 + -14

Combine like terms: 14 + -14 = 0
0 + -0.4z = -2 + -14
-0.4z = -2 + -14

Combine like terms: -2 + -14 = -16
-0.4z = -16

Divide each side by '-0.4'.
z = 40

Simplifying
z = 40

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