5(z-2)=3(z-8)

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Solution for 5(z-2)=3(z-8) equation:


Simplifying
5(z + -2) = 3(z + -8)

Reorder the terms:
5(-2 + z) = 3(z + -8)
(-2 * 5 + z * 5) = 3(z + -8)
(-10 + 5z) = 3(z + -8)

Reorder the terms:
-10 + 5z = 3(-8 + z)
-10 + 5z = (-8 * 3 + z * 3)
-10 + 5z = (-24 + 3z)

Solving
-10 + 5z = -24 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-10 + 5z + -3z = -24 + 3z + -3z

Combine like terms: 5z + -3z = 2z
-10 + 2z = -24 + 3z + -3z

Combine like terms: 3z + -3z = 0
-10 + 2z = -24 + 0
-10 + 2z = -24

Add '10' to each side of the equation.
-10 + 10 + 2z = -24 + 10

Combine like terms: -10 + 10 = 0
0 + 2z = -24 + 10
2z = -24 + 10

Combine like terms: -24 + 10 = -14
2z = -14

Divide each side by '2'.
z = -7

Simplifying
z = -7

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