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

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Solution for 4(z-5)=3(z-8) equation: 


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

Reorder the terms:
4(-5 + z) = 3(z + -8)
(-5 * 4 + z * 4) = 3(z + -8)
(-20 + 4z) = 3(z + -8)

Reorder the terms:
-20 + 4z = 3(-8 + z)
-20 + 4z = (-8 * 3 + z * 3)
-20 + 4z = (-24 + 3z)

Solving
-20 + 4z = -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.
-20 + 4z + -3z = -24 + 3z + -3z

Combine like terms: 4z + -3z = 1z
-20 + 1z = -24 + 3z + -3z

Combine like terms: 3z + -3z = 0
-20 + 1z = -24 + 0
-20 + 1z = -24

Add '20' to each side of the equation.
-20 + 20 + 1z = -24 + 20

Combine like terms: -20 + 20 = 0
0 + 1z = -24 + 20
1z = -24 + 20

Combine like terms: -24 + 20 = -4
1z = -4

Divide each side by '1'.
z = -4

Simplifying
z = -4

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