-3(z-1)+8(z-3)=6z+7-5x

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Solution for -3(z-1)+8(z-3)=6z+7-5x equation:


Simplifying
-3(z + -1) + 8(z + -3) = 6z + 7 + -5x

Reorder the terms:
-3(-1 + z) + 8(z + -3) = 6z + 7 + -5x
(-1 * -3 + z * -3) + 8(z + -3) = 6z + 7 + -5x
(3 + -3z) + 8(z + -3) = 6z + 7 + -5x

Reorder the terms:
3 + -3z + 8(-3 + z) = 6z + 7 + -5x
3 + -3z + (-3 * 8 + z * 8) = 6z + 7 + -5x
3 + -3z + (-24 + 8z) = 6z + 7 + -5x

Reorder the terms:
3 + -24 + -3z + 8z = 6z + 7 + -5x

Combine like terms: 3 + -24 = -21
-21 + -3z + 8z = 6z + 7 + -5x

Combine like terms: -3z + 8z = 5z
-21 + 5z = 6z + 7 + -5x

Reorder the terms:
-21 + 5z = 7 + -5x + 6z

Solving
-21 + 5z = 7 + -5x + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-21 + 5z + -6z = 7 + -5x + 6z + -6z

Combine like terms: 5z + -6z = -1z
-21 + -1z = 7 + -5x + 6z + -6z

Combine like terms: 6z + -6z = 0
-21 + -1z = 7 + -5x + 0
-21 + -1z = 7 + -5x

Add '21' to each side of the equation.
-21 + 21 + -1z = 7 + 21 + -5x

Combine like terms: -21 + 21 = 0
0 + -1z = 7 + 21 + -5x
-1z = 7 + 21 + -5x

Combine like terms: 7 + 21 = 28
-1z = 28 + -5x

Divide each side by '-1'.
z = -28 + 5x

Simplifying
z = -28 + 5x

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