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

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


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

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

Reorder the terms:
-7 + 7z = 3 + -2(-2 + z)
-7 + 7z = 3 + (-2 * -2 + z * -2)
-7 + 7z = 3 + (4 + -2z)

Combine like terms: 3 + 4 = 7
-7 + 7z = 7 + -2z

Solving
-7 + 7z = 7 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
-7 + 7z + 2z = 7 + -2z + 2z

Combine like terms: 7z + 2z = 9z
-7 + 9z = 7 + -2z + 2z

Combine like terms: -2z + 2z = 0
-7 + 9z = 7 + 0
-7 + 9z = 7

Add '7' to each side of the equation.
-7 + 7 + 9z = 7 + 7

Combine like terms: -7 + 7 = 0
0 + 9z = 7 + 7
9z = 7 + 7

Combine like terms: 7 + 7 = 14
9z = 14

Divide each side by '9'.
z = 1.555555556

Simplifying
z = 1.555555556

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