4(2z-1)-6(3-x)=-8

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Solution for 4(2z-1)-6(3-x)=-8 equation: 


Simplifying
4(2z + -1) + -6(3 + -1x) = -8

Reorder the terms:
4(-1 + 2z) + -6(3 + -1x) = -8
(-1 * 4 + 2z * 4) + -6(3 + -1x) = -8
(-4 + 8z) + -6(3 + -1x) = -8
-4 + 8z + (3 * -6 + -1x * -6) = -8
-4 + 8z + (-18 + 6x) = -8

Reorder the terms:
-4 + -18 + 6x + 8z = -8

Combine like terms: -4 + -18 = -22
-22 + 6x + 8z = -8

Solving
-22 + 6x + 8z = -8

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 6x + 22 + 8z = -8 + 22

Reorder the terms:
-22 + 22 + 6x + 8z = -8 + 22

Combine like terms: -22 + 22 = 0
0 + 6x + 8z = -8 + 22
6x + 8z = -8 + 22

Combine like terms: -8 + 22 = 14
6x + 8z = 14

Add '-8z' to each side of the equation.
6x + 8z + -8z = 14 + -8z

Combine like terms: 8z + -8z = 0
6x + 0 = 14 + -8z
6x = 14 + -8z

Divide each side by '6'.
x = 2.333333333 + -1.333333333z

Simplifying
x = 2.333333333 + -1.333333333z

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