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

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


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

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

Reorder the terms:
-20 + 5z = 4(-3 + z)
-20 + 5z = (-3 * 4 + z * 4)
-20 + 5z = (-12 + 4z)

Solving
-20 + 5z = -12 + 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 + 5z + -4z = -12 + 4z + -4z

Combine like terms: 5z + -4z = 1z
-20 + 1z = -12 + 4z + -4z

Combine like terms: 4z + -4z = 0
-20 + 1z = -12 + 0
-20 + 1z = -12

Add '20' to each side of the equation.
-20 + 20 + 1z = -12 + 20

Combine like terms: -20 + 20 = 0
0 + 1z = -12 + 20
1z = -12 + 20

Combine like terms: -12 + 20 = 8
1z = 8

Divide each side by '1'.
z = 8

Simplifying
z = 8

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