0.4(2z+7)+18.4=0.7(2z-4)

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Solution for 0.4(2z+7)+18.4=0.7(2z-4) equation:


Simplifying
0.4(2z + 7) + 18.4 = 0.7(2z + -4)

Reorder the terms:
0.4(7 + 2z) + 18.4 = 0.7(2z + -4)
(7 * 0.4 + 2z * 0.4) + 18.4 = 0.7(2z + -4)
(2.8 + 0.8z) + 18.4 = 0.7(2z + -4)

Reorder the terms:
2.8 + 18.4 + 0.8z = 0.7(2z + -4)

Combine like terms: 2.8 + 18.4 = 21.2
21.2 + 0.8z = 0.7(2z + -4)

Reorder the terms:
21.2 + 0.8z = 0.7(-4 + 2z)
21.2 + 0.8z = (-4 * 0.7 + 2z * 0.7)
21.2 + 0.8z = (-2.8 + 1.4z)

Solving
21.2 + 0.8z = -2.8 + 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.
21.2 + 0.8z + -1.4z = -2.8 + 1.4z + -1.4z

Combine like terms: 0.8z + -1.4z = -0.6z
21.2 + -0.6z = -2.8 + 1.4z + -1.4z

Combine like terms: 1.4z + -1.4z = 0.0
21.2 + -0.6z = -2.8 + 0.0
21.2 + -0.6z = -2.8

Add '-21.2' to each side of the equation.
21.2 + -21.2 + -0.6z = -2.8 + -21.2

Combine like terms: 21.2 + -21.2 = 0.0
0.0 + -0.6z = -2.8 + -21.2
-0.6z = -2.8 + -21.2

Combine like terms: -2.8 + -21.2 = -24
-0.6z = -24

Divide each side by '-0.6'.
z = 40

Simplifying
z = 40

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