6(z-80)=4(z-79)

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Solution for 6(z-80)=4(z-79) equation:


Simplifying
6(z + -80) = 4(z + -79)

Reorder the terms:
6(-80 + z) = 4(z + -79)
(-80 * 6 + z * 6) = 4(z + -79)
(-480 + 6z) = 4(z + -79)

Reorder the terms:
-480 + 6z = 4(-79 + z)
-480 + 6z = (-79 * 4 + z * 4)
-480 + 6z = (-316 + 4z)

Solving
-480 + 6z = -316 + 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.
-480 + 6z + -4z = -316 + 4z + -4z

Combine like terms: 6z + -4z = 2z
-480 + 2z = -316 + 4z + -4z

Combine like terms: 4z + -4z = 0
-480 + 2z = -316 + 0
-480 + 2z = -316

Add '480' to each side of the equation.
-480 + 480 + 2z = -316 + 480

Combine like terms: -480 + 480 = 0
0 + 2z = -316 + 480
2z = -316 + 480

Combine like terms: -316 + 480 = 164
2z = 164

Divide each side by '2'.
z = 82

Simplifying
z = 82

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