10(2-z)=4(z-9)

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Solution for 10(2-z)=4(z-9) equation: 


Simplifying
10(2 + -1z) = 4(z + -9)
(2 * 10 + -1z * 10) = 4(z + -9)
(20 + -10z) = 4(z + -9)

Reorder the terms:
20 + -10z = 4(-9 + z)
20 + -10z = (-9 * 4 + z * 4)
20 + -10z = (-36 + 4z)

Solving
20 + -10z = -36 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
20 + -10z + -4z = -36 + 4z + -4z

Combine like terms: -10z + -4z = -14z
20 + -14z = -36 + 4z + -4z

Combine like terms: 4z + -4z = 0
20 + -14z = -36 + 0
20 + -14z = -36

Add '-20' to each side of the equation.
20 + -20 + -14z = -36 + -20

Combine like terms: 20 + -20 = 0
0 + -14z = -36 + -20
-14z = -36 + -20

Combine like terms: -36 + -20 = -56
-14z = -56

Divide each side by '-14'.
z = 4

Simplifying
z = 4

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