7(z-2)=3(z-1)

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Solution for 7(z-2)=3(z-1) equation:


Simplifying
7(z + -2) = 3(z + -1)

Reorder the terms:
7(-2 + z) = 3(z + -1)
(-2 * 7 + z * 7) = 3(z + -1)
(-14 + 7z) = 3(z + -1)

Reorder the terms:
-14 + 7z = 3(-1 + z)
-14 + 7z = (-1 * 3 + z * 3)
-14 + 7z = (-3 + 3z)

Solving
-14 + 7z = -3 + 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.
-14 + 7z + -3z = -3 + 3z + -3z

Combine like terms: 7z + -3z = 4z
-14 + 4z = -3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-14 + 4z = -3 + 0
-14 + 4z = -3

Add '14' to each side of the equation.
-14 + 14 + 4z = -3 + 14

Combine like terms: -14 + 14 = 0
0 + 4z = -3 + 14
4z = -3 + 14

Combine like terms: -3 + 14 = 11
4z = 11

Divide each side by '4'.
z = 2.75

Simplifying
z = 2.75

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